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Finding the Fourth Proportional to 8,034.24, 12,040.32 and 4,130.40

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Solution

The fourth proportional to 8,034.24, 12,040.32 and 4,130.40 is: 6,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.24 : 12,040.32 = 4,130.40 : x
  2. Step 2: Convert to fraction form
    8,034.24/12,040.32 = 4,130.40/x
  3. Step 3: Cross multiply
    8,034.24x = 12,040.32 × 4,130.40
  4. Step 4: Simplify right side
    8,034.24x = 49,731,337.73
  5. Step 5: Solve for x
    x = 49,731,337.73/8,034.24
  6. Step 6: Final answer
    x = 6,189.92

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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.