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Finding the Fourth Proportional to 7,711.74, 11,499.90 and 7,641.57

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Solution

The fourth proportional to 7,711.74, 11,499.90 and 7,641.57 is: 11,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.74 : 11,499.90 = 7,641.57 : x
  2. Step 2: Convert to fraction form
    7,711.74/11,499.90 = 7,641.57/x
  3. Step 3: Cross multiply
    7,711.74x = 11,499.90 × 7,641.57
  4. Step 4: Simplify right side
    7,711.74x = 87,877,290.84
  5. Step 5: Solve for x
    x = 87,877,290.84/7,711.74
  6. Step 6: Final answer
    x = 11,395.26

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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.