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Finding the Fourth Proportional to 7,867.65, 10,856.11 and 4,509.85

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Solution

The fourth proportional to 7,867.65, 10,856.11 and 4,509.85 is: 6,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.65 : 10,856.11 = 4,509.85 : x
  2. Step 2: Convert to fraction form
    7,867.65/10,856.11 = 4,509.85/x
  3. Step 3: Cross multiply
    7,867.65x = 10,856.11 × 4,509.85
  4. Step 4: Simplify right side
    7,867.65x = 48,959,427.68
  5. Step 5: Solve for x
    x = 48,959,427.68/7,867.65
  6. Step 6: Final answer
    x = 6,222.88

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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.