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Finding the Fourth Proportional to 10,861.32, 14,977.80 and 8,178.96

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Solution

The fourth proportional to 10,861.32, 14,977.80 and 8,178.96 is: 11,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.32 : 14,977.80 = 8,178.96 : x
  2. Step 2: Convert to fraction form
    10,861.32/14,977.80 = 8,178.96/x
  3. Step 3: Cross multiply
    10,861.32x = 14,977.80 × 8,178.96
  4. Step 4: Simplify right side
    10,861.32x = 122,502,827.09
  5. Step 5: Solve for x
    x = 122,502,827.09/10,861.32
  6. Step 6: Final answer
    x = 11,278.82

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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.