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Finding the Fourth Proportional to 7,259.40, 10,874.70 and 4,177.80

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Solution

The fourth proportional to 7,259.40, 10,874.70 and 4,177.80 is: 6,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.40 : 10,874.70 = 4,177.80 : x
  2. Step 2: Convert to fraction form
    7,259.40/10,874.70 = 4,177.80/x
  3. Step 3: Cross multiply
    7,259.40x = 10,874.70 × 4,177.80
  4. Step 4: Simplify right side
    7,259.40x = 45,432,321.66
  5. Step 5: Solve for x
    x = 45,432,321.66/7,259.40
  6. Step 6: Final answer
    x = 6,258.41

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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.