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Finding the Fourth Proportional to 10,048.44, 15,070.38 and 3,809.16

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Solution

The fourth proportional to 10,048.44, 15,070.38 and 3,809.16 is: 5,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.44 : 15,070.38 = 3,809.16 : x
  2. Step 2: Convert to fraction form
    10,048.44/15,070.38 = 3,809.16/x
  3. Step 3: Cross multiply
    10,048.44x = 15,070.38 × 3,809.16
  4. Step 4: Simplify right side
    10,048.44x = 57,405,488.68
  5. Step 5: Solve for x
    x = 57,405,488.68/10,048.44
  6. Step 6: Final answer
    x = 5,712.88

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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.