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Finding the Fourth Proportional to 8,627.87, 11,892.12 and 6,106.74

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Solution

The fourth proportional to 8,627.87, 11,892.12 and 6,106.74 is: 8,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.87 : 11,892.12 = 6,106.74 : x
  2. Step 2: Convert to fraction form
    8,627.87/11,892.12 = 6,106.74/x
  3. Step 3: Cross multiply
    8,627.87x = 11,892.12 × 6,106.74
  4. Step 4: Simplify right side
    8,627.87x = 72,622,084.29
  5. Step 5: Solve for x
    x = 72,622,084.29/8,627.87
  6. Step 6: Final answer
    x = 8,417.15

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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.