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Finding the Fourth Proportional to 7,522.40, 10,380.54 and 4,165.15

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Solution

The fourth proportional to 7,522.40, 10,380.54 and 4,165.15 is: 5,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.40 : 10,380.54 = 4,165.15 : x
  2. Step 2: Convert to fraction form
    7,522.40/10,380.54 = 4,165.15/x
  3. Step 3: Cross multiply
    7,522.40x = 10,380.54 × 4,165.15
  4. Step 4: Simplify right side
    7,522.40x = 43,236,506.18
  5. Step 5: Solve for x
    x = 43,236,506.18/7,522.40
  6. Step 6: Final answer
    x = 5,747.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.