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Finding the Fourth Proportional to 7,755.40, 10,711.47 and 5,114.80

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Solution

The fourth proportional to 7,755.40, 10,711.47 and 5,114.80 is: 7,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.40 : 10,711.47 = 5,114.80 : x
  2. Step 2: Convert to fraction form
    7,755.40/10,711.47 = 5,114.80/x
  3. Step 3: Cross multiply
    7,755.40x = 10,711.47 × 5,114.80
  4. Step 4: Simplify right side
    7,755.40x = 54,787,026.76
  5. Step 5: Solve for x
    x = 54,787,026.76/7,755.40
  6. Step 6: Final answer
    x = 7,064.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.