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Finding the Fourth Proportional to 8,317.72, 12,475.58 and 3,641

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Solution

The fourth proportional to 8,317.72, 12,475.58 and 3,641 is: 5,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.72 : 12,475.58 = 3,641 : x
  2. Step 2: Convert to fraction form
    8,317.72/12,475.58 = 3,641/x
  3. Step 3: Cross multiply
    8,317.72x = 12,475.58 × 3,641
  4. Step 4: Simplify right side
    8,317.72x = 45,423,586.78
  5. Step 5: Solve for x
    x = 45,423,586.78/8,317.72
  6. Step 6: Final answer
    x = 5,461.06

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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.