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Finding the Fourth Proportional to 10,428.74, 14,391.72 and 5,713.46

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Solution

The fourth proportional to 10,428.74, 14,391.72 and 5,713.46 is: 7,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.74 : 14,391.72 = 5,713.46 : x
  2. Step 2: Convert to fraction form
    10,428.74/14,391.72 = 5,713.46/x
  3. Step 3: Cross multiply
    10,428.74x = 14,391.72 × 5,713.46
  4. Step 4: Simplify right side
    10,428.74x = 82,226,444.59
  5. Step 5: Solve for x
    x = 82,226,444.59/10,428.74
  6. Step 6: Final answer
    x = 7,884.60

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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.