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Finding the Fourth Proportional to 10,702.69, 14,773.13 and 7,516.75

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Solution

The fourth proportional to 10,702.69, 14,773.13 and 7,516.75 is: 10,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.69 : 14,773.13 = 7,516.75 : x
  2. Step 2: Convert to fraction form
    10,702.69/14,773.13 = 7,516.75/x
  3. Step 3: Cross multiply
    10,702.69x = 14,773.13 × 7,516.75
  4. Step 4: Simplify right side
    10,702.69x = 111,045,924.93
  5. Step 5: Solve for x
    x = 111,045,924.93/10,702.69
  6. Step 6: Final answer
    x = 10,375.52

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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.