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Finding the Fourth Proportional to 11,502.05, 15,874.34 and 7,024.86

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Solution

The fourth proportional to 11,502.05, 15,874.34 and 7,024.86 is: 9,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.05 : 15,874.34 = 7,024.86 : x
  2. Step 2: Convert to fraction form
    11,502.05/15,874.34 = 7,024.86/x
  3. Step 3: Cross multiply
    11,502.05x = 15,874.34 × 7,024.86
  4. Step 4: Simplify right side
    11,502.05x = 111,514,980.97
  5. Step 5: Solve for x
    x = 111,514,980.97/11,502.05
  6. Step 6: Final answer
    x = 9,695.23

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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.