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Finding the Fourth Proportional to 6,701.20, 10,032.60 and 4,109.20

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Solution

The fourth proportional to 6,701.20, 10,032.60 and 4,109.20 is: 6,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.20 : 10,032.60 = 4,109.20 : x
  2. Step 2: Convert to fraction form
    6,701.20/10,032.60 = 4,109.20/x
  3. Step 3: Cross multiply
    6,701.20x = 10,032.60 × 4,109.20
  4. Step 4: Simplify right side
    6,701.20x = 41,225,959.92
  5. Step 5: Solve for x
    x = 41,225,959.92/6,701.20
  6. Step 6: Final answer
    x = 6,152.03

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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.