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Finding the Fourth Proportional to 8,840.38, 12,199.72 and 4,861.76

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Solution

The fourth proportional to 8,840.38, 12,199.72 and 4,861.76 is: 6,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840.38 : 12,199.72 = 4,861.76 : x
  2. Step 2: Convert to fraction form
    8,840.38/12,199.72 = 4,861.76/x
  3. Step 3: Cross multiply
    8,840.38x = 12,199.72 × 4,861.76
  4. Step 4: Simplify right side
    8,840.38x = 59,312,110.71
  5. Step 5: Solve for x
    x = 59,312,110.71/8,840.38
  6. Step 6: Final answer
    x = 6,709.23

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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.