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Finding the Fourth Proportional to 8,041.20, 12,035.88 and 4,140.24

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Solution

The fourth proportional to 8,041.20, 12,035.88 and 4,140.24 is: 6,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.20 : 12,035.88 = 4,140.24 : x
  2. Step 2: Convert to fraction form
    8,041.20/12,035.88 = 4,140.24/x
  3. Step 3: Cross multiply
    8,041.20x = 12,035.88 × 4,140.24
  4. Step 4: Simplify right side
    8,041.20x = 49,831,431.81
  5. Step 5: Solve for x
    x = 49,831,431.81/8,041.20
  6. Step 6: Final answer
    x = 6,197.01

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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.