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Finding the Fourth Proportional to 8,564.31, 12,847.01 and 3,018.06

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Solution

The fourth proportional to 8,564.31, 12,847.01 and 3,018.06 is: 4,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.31 : 12,847.01 = 3,018.06 : x
  2. Step 2: Convert to fraction form
    8,564.31/12,847.01 = 3,018.06/x
  3. Step 3: Cross multiply
    8,564.31x = 12,847.01 × 3,018.06
  4. Step 4: Simplify right side
    8,564.31x = 38,773,031.91
  5. Step 5: Solve for x
    x = 38,773,031.91/8,564.31
  6. Step 6: Final answer
    x = 4,527.28

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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.