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Finding the Fourth Proportional to 10,531.88, 14,516.68 and 7,466.76

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Solution

The fourth proportional to 10,531.88, 14,516.68 and 7,466.76 is: 10,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.88 : 14,516.68 = 7,466.76 : x
  2. Step 2: Convert to fraction form
    10,531.88/14,516.68 = 7,466.76/x
  3. Step 3: Cross multiply
    10,531.88x = 14,516.68 × 7,466.76
  4. Step 4: Simplify right side
    10,531.88x = 108,392,565.56
  5. Step 5: Solve for x
    x = 108,392,565.56/10,531.88
  6. Step 6: Final answer
    x = 10,291.85

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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.