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Finding the Fourth Proportional to 11,251.08, 15,526.56 and 7,715.46

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Solution

The fourth proportional to 11,251.08, 15,526.56 and 7,715.46 is: 10,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.08 : 15,526.56 = 7,715.46 : x
  2. Step 2: Convert to fraction form
    11,251.08/15,526.56 = 7,715.46/x
  3. Step 3: Cross multiply
    11,251.08x = 15,526.56 × 7,715.46
  4. Step 4: Simplify right side
    11,251.08x = 119,794,552.62
  5. Step 5: Solve for x
    x = 119,794,552.62/11,251.08
  6. Step 6: Final answer
    x = 10,647.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.