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Finding the Fourth Proportional to 6,709.20, 10,044.60 and 4,117.20

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Solution

The fourth proportional to 6,709.20, 10,044.60 and 4,117.20 is: 6,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.20 : 10,044.60 = 4,117.20 : x
  2. Step 2: Convert to fraction form
    6,709.20/10,044.60 = 4,117.20/x
  3. Step 3: Cross multiply
    6,709.20x = 10,044.60 × 4,117.20
  4. Step 4: Simplify right side
    6,709.20x = 41,355,627.12
  5. Step 5: Solve for x
    x = 41,355,627.12/6,709.20
  6. Step 6: Final answer
    x = 6,164.02

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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.