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Finding the Fourth Proportional to 8,766.64, 12,101.32 and 5,410

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Solution

The fourth proportional to 8,766.64, 12,101.32 and 5,410 is: 7,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.64 : 12,101.32 = 5,410 : x
  2. Step 2: Convert to fraction form
    8,766.64/12,101.32 = 5,410/x
  3. Step 3: Cross multiply
    8,766.64x = 12,101.32 × 5,410
  4. Step 4: Simplify right side
    8,766.64x = 65,468,141.20
  5. Step 5: Solve for x
    x = 65,468,141.20/8,766.64
  6. Step 6: Final answer
    x = 7,467.87

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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.