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Finding the Fourth Proportional to 10,452.48, 15,678.28 and 2,661.48

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Solution

The fourth proportional to 10,452.48, 15,678.28 and 2,661.48 is: 3,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.48 : 15,678.28 = 2,661.48 : x
  2. Step 2: Convert to fraction form
    10,452.48/15,678.28 = 2,661.48/x
  3. Step 3: Cross multiply
    10,452.48x = 15,678.28 × 2,661.48
  4. Step 4: Simplify right side
    10,452.48x = 41,727,428.65
  5. Step 5: Solve for x
    x = 41,727,428.65/10,452.48
  6. Step 6: Final answer
    x = 3,992.11

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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.