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Finding the Fourth Proportional to 6,911.60, 10,370 and 4,140.24

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Solution

The fourth proportional to 6,911.60, 10,370 and 4,140.24 is: 6,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.60 : 10,370 = 4,140.24 : x
  2. Step 2: Convert to fraction form
    6,911.60/10,370 = 4,140.24/x
  3. Step 3: Cross multiply
    6,911.60x = 10,370 × 4,140.24
  4. Step 4: Simplify right side
    6,911.60x = 42,934,288.80
  5. Step 5: Solve for x
    x = 42,934,288.80/6,911.60
  6. Step 6: Final answer
    x = 6,211.92

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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.