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Finding the Fourth Proportional to 8,178.40, 12,262.56 and 4,013.08

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Solution

The fourth proportional to 8,178.40, 12,262.56 and 4,013.08 is: 6,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.40 : 12,262.56 = 4,013.08 : x
  2. Step 2: Convert to fraction form
    8,178.40/12,262.56 = 4,013.08/x
  3. Step 3: Cross multiply
    8,178.40x = 12,262.56 × 4,013.08
  4. Step 4: Simplify right side
    8,178.40x = 49,210,634.28
  5. Step 5: Solve for x
    x = 49,210,634.28/8,178.40
  6. Step 6: Final answer
    x = 6,017.15

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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.