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Finding the Fourth Proportional to 11,458.17, 15,812.24 and 6,422.40

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Solution

The fourth proportional to 11,458.17, 15,812.24 and 6,422.40 is: 8,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.17 : 15,812.24 = 6,422.40 : x
  2. Step 2: Convert to fraction form
    11,458.17/15,812.24 = 6,422.40/x
  3. Step 3: Cross multiply
    11,458.17x = 15,812.24 × 6,422.40
  4. Step 4: Simplify right side
    11,458.17x = 101,552,498.06
  5. Step 5: Solve for x
    x = 101,552,498.06/11,458.17
  6. Step 6: Final answer
    x = 8,862.89

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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.