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Finding the Fourth Proportional to 10,913.84, 16,375.64 and 5,718.52

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Solution

The fourth proportional to 10,913.84, 16,375.64 and 5,718.52 is: 8,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.84 : 16,375.64 = 5,718.52 : x
  2. Step 2: Convert to fraction form
    10,913.84/16,375.64 = 5,718.52/x
  3. Step 3: Cross multiply
    10,913.84x = 16,375.64 × 5,718.52
  4. Step 4: Simplify right side
    10,913.84x = 93,644,424.85
  5. Step 5: Solve for x
    x = 93,644,424.85/10,913.84
  6. Step 6: Final answer
    x = 8,580.34

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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.