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Finding the Fourth Proportional to 7,502.77, 11,265.72 and 6,347.95

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Solution

The fourth proportional to 7,502.77, 11,265.72 and 6,347.95 is: 9,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.77 : 11,265.72 = 6,347.95 : x
  2. Step 2: Convert to fraction form
    7,502.77/11,265.72 = 6,347.95/x
  3. Step 3: Cross multiply
    7,502.77x = 11,265.72 × 6,347.95
  4. Step 4: Simplify right side
    7,502.77x = 71,514,175.30
  5. Step 5: Solve for x
    x = 71,514,175.30/7,502.77
  6. Step 6: Final answer
    x = 9,531.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.