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Finding the Fourth Proportional to 8,165.71, 12,248.52 and 2,971.59

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Solution

The fourth proportional to 8,165.71, 12,248.52 and 2,971.59 is: 4,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.71 : 12,248.52 = 2,971.59 : x
  2. Step 2: Convert to fraction form
    8,165.71/12,248.52 = 2,971.59/x
  3. Step 3: Cross multiply
    8,165.71x = 12,248.52 × 2,971.59
  4. Step 4: Simplify right side
    8,165.71x = 36,397,579.55
  5. Step 5: Solve for x
    x = 36,397,579.55/8,165.71
  6. Step 6: Final answer
    x = 4,457.37

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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.