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Finding the Fourth Proportional to 10,522.44, 14,516.42 and 6,045.17

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Solution

The fourth proportional to 10,522.44, 14,516.42 and 6,045.17 is: 8,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.44 : 14,516.42 = 6,045.17 : x
  2. Step 2: Convert to fraction form
    10,522.44/14,516.42 = 6,045.17/x
  3. Step 3: Cross multiply
    10,522.44x = 14,516.42 × 6,045.17
  4. Step 4: Simplify right side
    10,522.44x = 87,754,123.88
  5. Step 5: Solve for x
    x = 87,754,123.88/10,522.44
  6. Step 6: Final answer
    x = 8,339.71

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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.