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Finding the Fourth Proportional to 10,331.68, 14,257.68 and 5,616.16

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Solution

The fourth proportional to 10,331.68, 14,257.68 and 5,616.16 is: 7,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.68 : 14,257.68 = 5,616.16 : x
  2. Step 2: Convert to fraction form
    10,331.68/14,257.68 = 5,616.16/x
  3. Step 3: Cross multiply
    10,331.68x = 14,257.68 × 5,616.16
  4. Step 4: Simplify right side
    10,331.68x = 80,073,412.11
  5. Step 5: Solve for x
    x = 80,073,412.11/10,331.68
  6. Step 6: Final answer
    x = 7,750.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.