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Finding the Fourth Proportional to 6,742.60, 10,113.90 and 4,409.80

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Solution

The fourth proportional to 6,742.60, 10,113.90 and 4,409.80 is: 6,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.60 : 10,113.90 = 4,409.80 : x
  2. Step 2: Convert to fraction form
    6,742.60/10,113.90 = 4,409.80/x
  3. Step 3: Cross multiply
    6,742.60x = 10,113.90 × 4,409.80
  4. Step 4: Simplify right side
    6,742.60x = 44,600,276.22
  5. Step 5: Solve for x
    x = 44,600,276.22/6,742.60
  6. Step 6: Final answer
    x = 6,614.70

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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.