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Finding the Fourth Proportional to 8,384.32, 12,573.18 and 2,760.64

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Solution

The fourth proportional to 8,384.32, 12,573.18 and 2,760.64 is: 4,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.32 : 12,573.18 = 2,760.64 : x
  2. Step 2: Convert to fraction form
    8,384.32/12,573.18 = 2,760.64/x
  3. Step 3: Cross multiply
    8,384.32x = 12,573.18 × 2,760.64
  4. Step 4: Simplify right side
    8,384.32x = 34,710,023.64
  5. Step 5: Solve for x
    x = 34,710,023.64/8,384.32
  6. Step 6: Final answer
    x = 4,139.87

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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.