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Finding the Fourth Proportional to 10,508.01, 15,765.42 and 3,112.59

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Solution

The fourth proportional to 10,508.01, 15,765.42 and 3,112.59 is: 4,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.01 : 15,765.42 = 3,112.59 : x
  2. Step 2: Convert to fraction form
    10,508.01/15,765.42 = 3,112.59/x
  3. Step 3: Cross multiply
    10,508.01x = 15,765.42 × 3,112.59
  4. Step 4: Simplify right side
    10,508.01x = 49,071,288.64
  5. Step 5: Solve for x
    x = 49,071,288.64/10,508.01
  6. Step 6: Final answer
    x = 4,669.89

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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.