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Finding the Fourth Proportional to 7,251.76, 10,878.36 and 2,320.16

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Solution

The fourth proportional to 7,251.76, 10,878.36 and 2,320.16 is: 3,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.76 : 10,878.36 = 2,320.16 : x
  2. Step 2: Convert to fraction form
    7,251.76/10,878.36 = 2,320.16/x
  3. Step 3: Cross multiply
    7,251.76x = 10,878.36 × 2,320.16
  4. Step 4: Simplify right side
    7,251.76x = 25,239,535.74
  5. Step 5: Solve for x
    x = 25,239,535.74/7,251.76
  6. Step 6: Final answer
    x = 3,480.47

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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.