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Finding the Fourth Proportional to 10,074.59, 15,010.62 and 9,508.69

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Solution

The fourth proportional to 10,074.59, 15,010.62 and 9,508.69 is: 14,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.59 : 15,010.62 = 9,508.69 : x
  2. Step 2: Convert to fraction form
    10,074.59/15,010.62 = 9,508.69/x
  3. Step 3: Cross multiply
    10,074.59x = 15,010.62 × 9,508.69
  4. Step 4: Simplify right side
    10,074.59x = 142,731,294.76
  5. Step 5: Solve for x
    x = 142,731,294.76/10,074.59
  6. Step 6: Final answer
    x = 14,167.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.