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Finding the Fourth Proportional to 10,048.80, 15,062.40 and 3,806.40

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Solution

The fourth proportional to 10,048.80, 15,062.40 and 3,806.40 is: 5,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.80 : 15,062.40 = 3,806.40 : x
  2. Step 2: Convert to fraction form
    10,048.80/15,062.40 = 3,806.40/x
  3. Step 3: Cross multiply
    10,048.80x = 15,062.40 × 3,806.40
  4. Step 4: Simplify right side
    10,048.80x = 57,333,519.36
  5. Step 5: Solve for x
    x = 57,333,519.36/10,048.80
  6. Step 6: Final answer
    x = 5,705.51

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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.