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Finding the Fourth Proportional to 7,301.88, 10,962 and 6,084.18

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Solution

The fourth proportional to 7,301.88, 10,962 and 6,084.18 is: 9,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.88 : 10,962 = 6,084.18 : x
  2. Step 2: Convert to fraction form
    7,301.88/10,962 = 6,084.18/x
  3. Step 3: Cross multiply
    7,301.88x = 10,962 × 6,084.18
  4. Step 4: Simplify right side
    7,301.88x = 66,694,781.16
  5. Step 5: Solve for x
    x = 66,694,781.16/7,301.88
  6. Step 6: Final answer
    x = 9,133.92

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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.