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Finding the Fourth Proportional to 10,885.64, 15,022.50 and 6,169.76

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Solution

The fourth proportional to 10,885.64, 15,022.50 and 6,169.76 is: 8,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.64 : 15,022.50 = 6,169.76 : x
  2. Step 2: Convert to fraction form
    10,885.64/15,022.50 = 6,169.76/x
  3. Step 3: Cross multiply
    10,885.64x = 15,022.50 × 6,169.76
  4. Step 4: Simplify right side
    10,885.64x = 92,685,219.60
  5. Step 5: Solve for x
    x = 92,685,219.60/10,885.64
  6. Step 6: Final answer
    x = 8,514.45

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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.