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Finding the Fourth Proportional to 6,098.74, 8,397.51 and 5,200.49

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Solution

The fourth proportional to 6,098.74, 8,397.51 and 5,200.49 is: 7,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.74 : 8,397.51 = 5,200.49 : x
  2. Step 2: Convert to fraction form
    6,098.74/8,397.51 = 5,200.49/x
  3. Step 3: Cross multiply
    6,098.74x = 8,397.51 × 5,200.49
  4. Step 4: Simplify right side
    6,098.74x = 43,671,166.78
  5. Step 5: Solve for x
    x = 43,671,166.78/6,098.74
  6. Step 6: Final answer
    x = 7,160.69

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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.