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Finding the Fourth Proportional to 10,202.40, 15,296.40 and 5,262.48

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Solution

The fourth proportional to 10,202.40, 15,296.40 and 5,262.48 is: 7,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.40 : 15,296.40 = 5,262.48 : x
  2. Step 2: Convert to fraction form
    10,202.40/15,296.40 = 5,262.48/x
  3. Step 3: Cross multiply
    10,202.40x = 15,296.40 × 5,262.48
  4. Step 4: Simplify right side
    10,202.40x = 80,496,999.07
  5. Step 5: Solve for x
    x = 80,496,999.07/10,202.40
  6. Step 6: Final answer
    x = 7,890.01

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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.