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Finding the Fourth Proportional to 10,256.66, 15,385.81 and 2,861.18

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Solution

The fourth proportional to 10,256.66, 15,385.81 and 2,861.18 is: 4,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.66 : 15,385.81 = 2,861.18 : x
  2. Step 2: Convert to fraction form
    10,256.66/15,385.81 = 2,861.18/x
  3. Step 3: Cross multiply
    10,256.66x = 15,385.81 × 2,861.18
  4. Step 4: Simplify right side
    10,256.66x = 44,021,603.17
  5. Step 5: Solve for x
    x = 44,021,603.17/10,256.66
  6. Step 6: Final answer
    x = 4,292.00

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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.