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Finding the Fourth Proportional to 11,901.20, 17,862.76 and 6,062

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Solution

The fourth proportional to 11,901.20, 17,862.76 and 6,062 is: 9,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.20 : 17,862.76 = 6,062 : x
  2. Step 2: Convert to fraction form
    11,901.20/17,862.76 = 6,062/x
  3. Step 3: Cross multiply
    11,901.20x = 17,862.76 × 6,062
  4. Step 4: Simplify right side
    11,901.20x = 108,284,051.12
  5. Step 5: Solve for x
    x = 108,284,051.12/11,901.20
  6. Step 6: Final answer
    x = 9,098.58

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Why These Related Problems?

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