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Finding the Fourth Proportional to 7,446.17, 11,165.98 and 3,498.55

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Solution

The fourth proportional to 7,446.17, 11,165.98 and 3,498.55 is: 5,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.17 : 11,165.98 = 3,498.55 : x
  2. Step 2: Convert to fraction form
    7,446.17/11,165.98 = 3,498.55/x
  3. Step 3: Cross multiply
    7,446.17x = 11,165.98 × 3,498.55
  4. Step 4: Simplify right side
    7,446.17x = 39,064,725.87
  5. Step 5: Solve for x
    x = 39,064,725.87/7,446.17
  6. Step 6: Final answer
    x = 5,246.28

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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.