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Finding the Fourth Proportional to 8,031.18, 11,987.95 and 7,084.30

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Solution

The fourth proportional to 8,031.18, 11,987.95 and 7,084.30 is: 10,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.18 : 11,987.95 = 7,084.30 : x
  2. Step 2: Convert to fraction form
    8,031.18/11,987.95 = 7,084.30/x
  3. Step 3: Cross multiply
    8,031.18x = 11,987.95 × 7,084.30
  4. Step 4: Simplify right side
    8,031.18x = 84,926,234.19
  5. Step 5: Solve for x
    x = 84,926,234.19/8,031.18
  6. Step 6: Final answer
    x = 10,574.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.