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Finding the Fourth Proportional to 8,125.77, 11,214.22 and 6,460.92

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Solution

The fourth proportional to 8,125.77, 11,214.22 and 6,460.92 is: 8,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.77 : 11,214.22 = 6,460.92 : x
  2. Step 2: Convert to fraction form
    8,125.77/11,214.22 = 6,460.92/x
  3. Step 3: Cross multiply
    8,125.77x = 11,214.22 × 6,460.92
  4. Step 4: Simplify right side
    8,125.77x = 72,454,178.28
  5. Step 5: Solve for x
    x = 72,454,178.28/8,125.77
  6. Step 6: Final answer
    x = 8,916.59

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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.