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Finding the Fourth Proportional to 10,242.06, 15,375.36 and 6,945.15

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Solution

The fourth proportional to 10,242.06, 15,375.36 and 6,945.15 is: 10,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.06 : 15,375.36 = 6,945.15 : x
  2. Step 2: Convert to fraction form
    10,242.06/15,375.36 = 6,945.15/x
  3. Step 3: Cross multiply
    10,242.06x = 15,375.36 × 6,945.15
  4. Step 4: Simplify right side
    10,242.06x = 106,784,181.50
  5. Step 5: Solve for x
    x = 106,784,181.50/10,242.06
  6. Step 6: Final answer
    x = 10,426.05

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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.