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Finding the Fourth Proportional to 11,170.92, 15,417.77 and 6,458.07

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Solution

The fourth proportional to 11,170.92, 15,417.77 and 6,458.07 is: 8,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.92 : 15,417.77 = 6,458.07 : x
  2. Step 2: Convert to fraction form
    11,170.92/15,417.77 = 6,458.07/x
  3. Step 3: Cross multiply
    11,170.92x = 15,417.77 × 6,458.07
  4. Step 4: Simplify right side
    11,170.92x = 99,569,005.61
  5. Step 5: Solve for x
    x = 99,569,005.61/11,170.92
  6. Step 6: Final answer
    x = 8,913.23

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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.