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Finding the Fourth Proportional to 10,256.54, 15,385.68 and 2,861.01

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Solution

The fourth proportional to 10,256.54, 15,385.68 and 2,861.01 is: 4,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.54 : 15,385.68 = 2,861.01 : x
  2. Step 2: Convert to fraction form
    10,256.54/15,385.68 = 2,861.01/x
  3. Step 3: Cross multiply
    10,256.54x = 15,385.68 × 2,861.01
  4. Step 4: Simplify right side
    10,256.54x = 44,018,584.34
  5. Step 5: Solve for x
    x = 44,018,584.34/10,256.54
  6. Step 6: Final answer
    x = 4,291.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.