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Finding the Fourth Proportional to 7,711.20, 10,641.41 and 4,354

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Solution

The fourth proportional to 7,711.20, 10,641.41 and 4,354 is: 6,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.20 : 10,641.41 = 4,354 : x
  2. Step 2: Convert to fraction form
    7,711.20/10,641.41 = 4,354/x
  3. Step 3: Cross multiply
    7,711.20x = 10,641.41 × 4,354
  4. Step 4: Simplify right side
    7,711.20x = 46,332,699.14
  5. Step 5: Solve for x
    x = 46,332,699.14/7,711.20
  6. Step 6: Final answer
    x = 6,008.49

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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.