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Finding the Fourth Proportional to 10,514.68, 15,747.54 and 5,308

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Solution

The fourth proportional to 10,514.68, 15,747.54 and 5,308 is: 7,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.68 : 15,747.54 = 5,308 : x
  2. Step 2: Convert to fraction form
    10,514.68/15,747.54 = 5,308/x
  3. Step 3: Cross multiply
    10,514.68x = 15,747.54 × 5,308
  4. Step 4: Simplify right side
    10,514.68x = 83,587,942.32
  5. Step 5: Solve for x
    x = 83,587,942.32/10,514.68
  6. Step 6: Final answer
    x = 7,949.64

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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.