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Finding the Fourth Proportional to 7,856.90, 10,843.47 and 4,500.80

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Solution

The fourth proportional to 7,856.90, 10,843.47 and 4,500.80 is: 6,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.90 : 10,843.47 = 4,500.80 : x
  2. Step 2: Convert to fraction form
    7,856.90/10,843.47 = 4,500.80/x
  3. Step 3: Cross multiply
    7,856.90x = 10,843.47 × 4,500.80
  4. Step 4: Simplify right side
    7,856.90x = 48,804,289.78
  5. Step 5: Solve for x
    x = 48,804,289.78/7,856.90
  6. Step 6: Final answer
    x = 6,211.65

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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.