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Finding the Fourth Proportional to 7,686.09, 11,499.98 and 4,757.13

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Solution

The fourth proportional to 7,686.09, 11,499.98 and 4,757.13 is: 7,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.09 : 11,499.98 = 4,757.13 : x
  2. Step 2: Convert to fraction form
    7,686.09/11,499.98 = 4,757.13/x
  3. Step 3: Cross multiply
    7,686.09x = 11,499.98 × 4,757.13
  4. Step 4: Simplify right side
    7,686.09x = 54,706,876.07
  5. Step 5: Solve for x
    x = 54,706,876.07/7,686.09
  6. Step 6: Final answer
    x = 7,117.65

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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.