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Finding the Fourth Proportional to 10,948.69, 15,109.25 and 5,980.69

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Solution

The fourth proportional to 10,948.69, 15,109.25 and 5,980.69 is: 8,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.69 : 15,109.25 = 5,980.69 : x
  2. Step 2: Convert to fraction form
    10,948.69/15,109.25 = 5,980.69/x
  3. Step 3: Cross multiply
    10,948.69x = 15,109.25 × 5,980.69
  4. Step 4: Simplify right side
    10,948.69x = 90,363,740.38
  5. Step 5: Solve for x
    x = 90,363,740.38/10,948.69
  6. Step 6: Final answer
    x = 8,253.38

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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.