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Finding the Fourth Proportional to 8,594, 11,861.40 and 4,868

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Solution

The fourth proportional to 8,594, 11,861.40 and 4,868 is: 6,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594 : 11,861.40 = 4,868 : x
  2. Step 2: Convert to fraction form
    8,594/11,861.40 = 4,868/x
  3. Step 3: Cross multiply
    8,594x = 11,861.40 × 4,868
  4. Step 4: Simplify right side
    8,594x = 57,741,295.20
  5. Step 5: Solve for x
    x = 57,741,295.20/8,594
  6. Step 6: Final answer
    x = 6,718.79

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Why These Related Problems?

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