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Finding the Fourth Proportional to 7,740.62, 11,605.22 and 6,261.69

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Solution

The fourth proportional to 7,740.62, 11,605.22 and 6,261.69 is: 9,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.62 : 11,605.22 = 6,261.69 : x
  2. Step 2: Convert to fraction form
    7,740.62/11,605.22 = 6,261.69/x
  3. Step 3: Cross multiply
    7,740.62x = 11,605.22 × 6,261.69
  4. Step 4: Simplify right side
    7,740.62x = 72,668,290.02
  5. Step 5: Solve for x
    x = 72,668,290.02/7,740.62
  6. Step 6: Final answer
    x = 9,387.92

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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.