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Finding the Fourth Proportional to 10,027.76, 15,047.12 and 5,097.80

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Solution

The fourth proportional to 10,027.76, 15,047.12 and 5,097.80 is: 7,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.76 : 15,047.12 = 5,097.80 : x
  2. Step 2: Convert to fraction form
    10,027.76/15,047.12 = 5,097.80/x
  3. Step 3: Cross multiply
    10,027.76x = 15,047.12 × 5,097.80
  4. Step 4: Simplify right side
    10,027.76x = 76,707,208.34
  5. Step 5: Solve for x
    x = 76,707,208.34/10,027.76
  6. Step 6: Final answer
    x = 7,649.49

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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.