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Finding the Fourth Proportional to 10,874.79, 16,307.57 and 3,856.57

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Solution

The fourth proportional to 10,874.79, 16,307.57 and 3,856.57 is: 5,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.79 : 16,307.57 = 3,856.57 : x
  2. Step 2: Convert to fraction form
    10,874.79/16,307.57 = 3,856.57/x
  3. Step 3: Cross multiply
    10,874.79x = 16,307.57 × 3,856.57
  4. Step 4: Simplify right side
    10,874.79x = 62,891,289.13
  5. Step 5: Solve for x
    x = 62,891,289.13/10,874.79
  6. Step 6: Final answer
    x = 5,783.22

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Why These Related Problems?

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