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Finding the Fourth Proportional to 6,780.74, 10,122 and 5,862.20

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Solution

The fourth proportional to 6,780.74, 10,122 and 5,862.20 is: 8,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.74 : 10,122 = 5,862.20 : x
  2. Step 2: Convert to fraction form
    6,780.74/10,122 = 5,862.20/x
  3. Step 3: Cross multiply
    6,780.74x = 10,122 × 5,862.20
  4. Step 4: Simplify right side
    6,780.74x = 59,337,188.40
  5. Step 5: Solve for x
    x = 59,337,188.40/6,780.74
  6. Step 6: Final answer
    x = 8,750.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.