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Finding the Fourth Proportional to 7,856.12, 10,841.22 and 5,063.24

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Solution

The fourth proportional to 7,856.12, 10,841.22 and 5,063.24 is: 6,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.12 : 10,841.22 = 5,063.24 : x
  2. Step 2: Convert to fraction form
    7,856.12/10,841.22 = 5,063.24/x
  3. Step 3: Cross multiply
    7,856.12x = 10,841.22 × 5,063.24
  4. Step 4: Simplify right side
    7,856.12x = 54,891,698.75
  5. Step 5: Solve for x
    x = 54,891,698.75/7,856.12
  6. Step 6: Final answer
    x = 6,987.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.