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Finding the Fourth Proportional to 10,021.20, 15,031.80 and 7,105.20

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Solution

The fourth proportional to 10,021.20, 15,031.80 and 7,105.20 is: 10,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.20 : 15,031.80 = 7,105.20 : x
  2. Step 2: Convert to fraction form
    10,021.20/15,031.80 = 7,105.20/x
  3. Step 3: Cross multiply
    10,021.20x = 15,031.80 × 7,105.20
  4. Step 4: Simplify right side
    10,021.20x = 106,803,945.36
  5. Step 5: Solve for x
    x = 106,803,945.36/10,021.20
  6. Step 6: Final answer
    x = 10,657.80

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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.