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Finding the Fourth Proportional to 7,811.71, 11,718.78 and 2,545.49

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Solution

The fourth proportional to 7,811.71, 11,718.78 and 2,545.49 is: 3,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.71 : 11,718.78 = 2,545.49 : x
  2. Step 2: Convert to fraction form
    7,811.71/11,718.78 = 2,545.49/x
  3. Step 3: Cross multiply
    7,811.71x = 11,718.78 × 2,545.49
  4. Step 4: Simplify right side
    7,811.71x = 29,830,024.57
  5. Step 5: Solve for x
    x = 29,830,024.57/7,811.71
  6. Step 6: Final answer
    x = 3,818.63

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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.