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Finding the Fourth Proportional to 10,710.40, 16,062.72 and 3,784

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Solution

The fourth proportional to 10,710.40, 16,062.72 and 3,784 is: 5,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.40 : 16,062.72 = 3,784 : x
  2. Step 2: Convert to fraction form
    10,710.40/16,062.72 = 3,784/x
  3. Step 3: Cross multiply
    10,710.40x = 16,062.72 × 3,784
  4. Step 4: Simplify right side
    10,710.40x = 60,781,332.48
  5. Step 5: Solve for x
    x = 60,781,332.48/10,710.40
  6. Step 6: Final answer
    x = 5,674.98

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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.