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Finding the Fourth Proportional to 7,891.74, 10,890.18 and 4,534.02

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Solution

The fourth proportional to 7,891.74, 10,890.18 and 4,534.02 is: 6,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.74 : 10,890.18 = 4,534.02 : x
  2. Step 2: Convert to fraction form
    7,891.74/10,890.18 = 4,534.02/x
  3. Step 3: Cross multiply
    7,891.74x = 10,890.18 × 4,534.02
  4. Step 4: Simplify right side
    7,891.74x = 49,376,293.92
  5. Step 5: Solve for x
    x = 49,376,293.92/7,891.74
  6. Step 6: Final answer
    x = 6,256.71

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Why These Related Problems?

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