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Finding the Fourth Proportional to 10,147.71, 14,005.16 and 5,672.40

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Solution

The fourth proportional to 10,147.71, 14,005.16 and 5,672.40 is: 7,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.71 : 14,005.16 = 5,672.40 : x
  2. Step 2: Convert to fraction form
    10,147.71/14,005.16 = 5,672.40/x
  3. Step 3: Cross multiply
    10,147.71x = 14,005.16 × 5,672.40
  4. Step 4: Simplify right side
    10,147.71x = 79,442,869.58
  5. Step 5: Solve for x
    x = 79,442,869.58/10,147.71
  6. Step 6: Final answer
    x = 7,828.65

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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.