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Finding the Fourth Proportional to 10,008.34, 13,810.31 and 5,531.48

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Solution

The fourth proportional to 10,008.34, 13,810.31 and 5,531.48 is: 7,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.34 : 13,810.31 = 5,531.48 : x
  2. Step 2: Convert to fraction form
    10,008.34/13,810.31 = 5,531.48/x
  3. Step 3: Cross multiply
    10,008.34x = 13,810.31 × 5,531.48
  4. Step 4: Simplify right side
    10,008.34x = 76,391,425.90
  5. Step 5: Solve for x
    x = 76,391,425.90/10,008.34
  6. Step 6: Final answer
    x = 7,632.78

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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.