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Finding the Fourth Proportional to 7,591.76, 10,476.68 and 4,448

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Solution

The fourth proportional to 7,591.76, 10,476.68 and 4,448 is: 6,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.76 : 10,476.68 = 4,448 : x
  2. Step 2: Convert to fraction form
    7,591.76/10,476.68 = 4,448/x
  3. Step 3: Cross multiply
    7,591.76x = 10,476.68 × 4,448
  4. Step 4: Simplify right side
    7,591.76x = 46,600,272.64
  5. Step 5: Solve for x
    x = 46,600,272.64/7,591.76
  6. Step 6: Final answer
    x = 6,138.27

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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.