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Finding the Fourth Proportional to 8,417.49, 11,616.17 and 5,062.23

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Solution

The fourth proportional to 8,417.49, 11,616.17 and 5,062.23 is: 6,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.49 : 11,616.17 = 5,062.23 : x
  2. Step 2: Convert to fraction form
    8,417.49/11,616.17 = 5,062.23/x
  3. Step 3: Cross multiply
    8,417.49x = 11,616.17 × 5,062.23
  4. Step 4: Simplify right side
    8,417.49x = 58,803,724.26
  5. Step 5: Solve for x
    x = 58,803,724.26/8,417.49
  6. Step 6: Final answer
    x = 6,985.90

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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.