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Finding the Fourth Proportional to 8,697.34, 13,044.90 and 2,457.82

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Solution

The fourth proportional to 8,697.34, 13,044.90 and 2,457.82 is: 3,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.34 : 13,044.90 = 2,457.82 : x
  2. Step 2: Convert to fraction form
    8,697.34/13,044.90 = 2,457.82/x
  3. Step 3: Cross multiply
    8,697.34x = 13,044.90 × 2,457.82
  4. Step 4: Simplify right side
    8,697.34x = 32,062,016.12
  5. Step 5: Solve for x
    x = 32,062,016.12/8,697.34
  6. Step 6: Final answer
    x = 3,686.42

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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.