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Finding the Fourth Proportional to 10,027.65, 15,041.48 and 6,335.49

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Solution

The fourth proportional to 10,027.65, 15,041.48 and 6,335.49 is: 9,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.65 : 15,041.48 = 6,335.49 : x
  2. Step 2: Convert to fraction form
    10,027.65/15,041.48 = 6,335.49/x
  3. Step 3: Cross multiply
    10,027.65x = 15,041.48 × 6,335.49
  4. Step 4: Simplify right side
    10,027.65x = 95,295,146.13
  5. Step 5: Solve for x
    x = 95,295,146.13/10,027.65
  6. Step 6: Final answer
    x = 9,503.24

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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.