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Finding the Fourth Proportional to 8,013.06, 12,019.59 and 7,410.42

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Solution

The fourth proportional to 8,013.06, 12,019.59 and 7,410.42 is: 11,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.06 : 12,019.59 = 7,410.42 : x
  2. Step 2: Convert to fraction form
    8,013.06/12,019.59 = 7,410.42/x
  3. Step 3: Cross multiply
    8,013.06x = 12,019.59 × 7,410.42
  4. Step 4: Simplify right side
    8,013.06x = 89,070,210.13
  5. Step 5: Solve for x
    x = 89,070,210.13/8,013.06
  6. Step 6: Final answer
    x = 11,115.63

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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.