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Finding the Fourth Proportional to 7,758.09, 11,549.38 and 7,711.95

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Solution

The fourth proportional to 7,758.09, 11,549.38 and 7,711.95 is: 11,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.09 : 11,549.38 = 7,711.95 : x
  2. Step 2: Convert to fraction form
    7,758.09/11,549.38 = 7,711.95/x
  3. Step 3: Cross multiply
    7,758.09x = 11,549.38 × 7,711.95
  4. Step 4: Simplify right side
    7,758.09x = 89,068,231.40
  5. Step 5: Solve for x
    x = 89,068,231.40/7,758.09
  6. Step 6: Final answer
    x = 11,480.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.