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Finding the Fourth Proportional to 8,521.47, 12,784.28 and 2,974.86

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Solution

The fourth proportional to 8,521.47, 12,784.28 and 2,974.86 is: 4,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.47 : 12,784.28 = 2,974.86 : x
  2. Step 2: Convert to fraction form
    8,521.47/12,784.28 = 2,974.86/x
  3. Step 3: Cross multiply
    8,521.47x = 12,784.28 × 2,974.86
  4. Step 4: Simplify right side
    8,521.47x = 38,031,428.33
  5. Step 5: Solve for x
    x = 38,031,428.33/8,521.47
  6. Step 6: Final answer
    x = 4,463.01

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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.