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Finding the Fourth Proportional to 10,306.71, 14,225.31 and 5,830.47

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Solution

The fourth proportional to 10,306.71, 14,225.31 and 5,830.47 is: 8,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.71 : 14,225.31 = 5,830.47 : x
  2. Step 2: Convert to fraction form
    10,306.71/14,225.31 = 5,830.47/x
  3. Step 3: Cross multiply
    10,306.71x = 14,225.31 × 5,830.47
  4. Step 4: Simplify right side
    10,306.71x = 82,940,243.20
  5. Step 5: Solve for x
    x = 82,940,243.20/10,306.71
  6. Step 6: Final answer
    x = 8,047.21

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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.