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Finding the Fourth Proportional to 11,532.01, 15,913.37 and 6,815.38

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Solution

The fourth proportional to 11,532.01, 15,913.37 and 6,815.38 is: 9,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.01 : 15,913.37 = 6,815.38 : x
  2. Step 2: Convert to fraction form
    11,532.01/15,913.37 = 6,815.38/x
  3. Step 3: Cross multiply
    11,532.01x = 15,913.37 × 6,815.38
  4. Step 4: Simplify right side
    11,532.01x = 108,455,549.99
  5. Step 5: Solve for x
    x = 108,455,549.99/11,532.01
  6. Step 6: Final answer
    x = 9,404.74

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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.