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Finding the Fourth Proportional to 10,576.86, 15,853.82 and 6,881.72

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Solution

The fourth proportional to 10,576.86, 15,853.82 and 6,881.72 is: 10,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.86 : 15,853.82 = 6,881.72 : x
  2. Step 2: Convert to fraction form
    10,576.86/15,853.82 = 6,881.72/x
  3. Step 3: Cross multiply
    10,576.86x = 15,853.82 × 6,881.72
  4. Step 4: Simplify right side
    10,576.86x = 109,101,550.17
  5. Step 5: Solve for x
    x = 109,101,550.17/10,576.86
  6. Step 6: Final answer
    x = 10,315.12

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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.