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Finding the Fourth Proportional to 10,784,294.40, 16,165,382.40 and 6,294,259.20

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Solution

The fourth proportional to 10,784,294.40, 16,165,382.40 and 6,294,259.20 is: 9,434,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784,294.40 : 16,165,382.40 = 6,294,259.20 : x
  2. Step 2: Convert to fraction form
    10,784,294.40/16,165,382.40 = 6,294,259.20/x
  3. Step 3: Cross multiply
    10,784,294.40x = 16,165,382.40 × 6,294,259.20
  4. Step 4: Simplify right side
    10,784,294.40x = 101,749,106,892,718.08
  5. Step 5: Solve for x
    x = 101,749,106,892,718.08/10,784,294.40
  6. Step 6: Final answer
    x = 9,434,934.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.