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Finding the Fourth Proportional to 11,502.68, 17,254.85 and 3,069.14

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Solution

The fourth proportional to 11,502.68, 17,254.85 and 3,069.14 is: 4,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.68 : 17,254.85 = 3,069.14 : x
  2. Step 2: Convert to fraction form
    11,502.68/17,254.85 = 3,069.14/x
  3. Step 3: Cross multiply
    11,502.68x = 17,254.85 × 3,069.14
  4. Step 4: Simplify right side
    11,502.68x = 52,957,545.77
  5. Step 5: Solve for x
    x = 52,957,545.77/11,502.68
  6. Step 6: Final answer
    x = 4,603.93

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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.