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Finding the Fourth Proportional to 7,617.60, 11,439 and 6,395.04

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Solution

The fourth proportional to 7,617.60, 11,439 and 6,395.04 is: 9,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.60 : 11,439 = 6,395.04 : x
  2. Step 2: Convert to fraction form
    7,617.60/11,439 = 6,395.04/x
  3. Step 3: Cross multiply
    7,617.60x = 11,439 × 6,395.04
  4. Step 4: Simplify right side
    7,617.60x = 73,152,862.56
  5. Step 5: Solve for x
    x = 73,152,862.56/7,617.60
  6. Step 6: Final answer
    x = 9,603.14

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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.