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Finding the Fourth Proportional to 8,576.74, 12,870.50 and 3,646.42

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Solution

The fourth proportional to 8,576.74, 12,870.50 and 3,646.42 is: 5,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.74 : 12,870.50 = 3,646.42 : x
  2. Step 2: Convert to fraction form
    8,576.74/12,870.50 = 3,646.42/x
  3. Step 3: Cross multiply
    8,576.74x = 12,870.50 × 3,646.42
  4. Step 4: Simplify right side
    8,576.74x = 46,931,248.61
  5. Step 5: Solve for x
    x = 46,931,248.61/8,576.74
  6. Step 6: Final answer
    x = 5,471.92

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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.