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Finding the Fourth Proportional to 8,423.64, 12,635.10 and 2,580.66

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Solution

The fourth proportional to 8,423.64, 12,635.10 and 2,580.66 is: 3,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.64 : 12,635.10 = 2,580.66 : x
  2. Step 2: Convert to fraction form
    8,423.64/12,635.10 = 2,580.66/x
  3. Step 3: Cross multiply
    8,423.64x = 12,635.10 × 2,580.66
  4. Step 4: Simplify right side
    8,423.64x = 32,606,897.17
  5. Step 5: Solve for x
    x = 32,606,897.17/8,423.64
  6. Step 6: Final answer
    x = 3,870.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.