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Finding the Fourth Proportional to 10,507.39, 15,763.39 and 3,112.42

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Solution

The fourth proportional to 10,507.39, 15,763.39 and 3,112.42 is: 4,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.39 : 15,763.39 = 3,112.42 : x
  2. Step 2: Convert to fraction form
    10,507.39/15,763.39 = 3,112.42/x
  3. Step 3: Cross multiply
    10,507.39x = 15,763.39 × 3,112.42
  4. Step 4: Simplify right side
    10,507.39x = 49,062,290.30
  5. Step 5: Solve for x
    x = 49,062,290.30/10,507.39
  6. Step 6: Final answer
    x = 4,669.31

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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.