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Finding the Fourth Proportional to 10,784.40, 16,176.60 and 9,488.40

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Solution

The fourth proportional to 10,784.40, 16,176.60 and 9,488.40 is: 14,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.40 : 16,176.60 = 9,488.40 : x
  2. Step 2: Convert to fraction form
    10,784.40/16,176.60 = 9,488.40/x
  3. Step 3: Cross multiply
    10,784.40x = 16,176.60 × 9,488.40
  4. Step 4: Simplify right side
    10,784.40x = 153,490,051.44
  5. Step 5: Solve for x
    x = 153,490,051.44/10,784.40
  6. Step 6: Final answer
    x = 14,232.60

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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.