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Finding the Fourth Proportional to 10,250, 15,377.88 and 5,054.48

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Solution

The fourth proportional to 10,250, 15,377.88 and 5,054.48 is: 7,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250 : 15,377.88 = 5,054.48 : x
  2. Step 2: Convert to fraction form
    10,250/15,377.88 = 5,054.48/x
  3. Step 3: Cross multiply
    10,250x = 15,377.88 × 5,054.48
  4. Step 4: Simplify right side
    10,250x = 77,727,186.90
  5. Step 5: Solve for x
    x = 77,727,186.90/10,250
  6. Step 6: Final answer
    x = 7,583.14

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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.