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Finding the Fourth Proportional to 11,301.16, 15,585.78 and 8,939.16

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Solution

The fourth proportional to 11,301.16, 15,585.78 and 8,939.16 is: 12,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.16 : 15,585.78 = 8,939.16 : x
  2. Step 2: Convert to fraction form
    11,301.16/15,585.78 = 8,939.16/x
  3. Step 3: Cross multiply
    11,301.16x = 15,585.78 × 8,939.16
  4. Step 4: Simplify right side
    11,301.16x = 139,323,781.14
  5. Step 5: Solve for x
    x = 139,323,781.14/11,301.16
  6. Step 6: Final answer
    x = 12,328.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.