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Finding the Fourth Proportional to 10,242.88, 15,363.76 and 5,047

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Solution

The fourth proportional to 10,242.88, 15,363.76 and 5,047 is: 7,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.88 : 15,363.76 = 5,047 : x
  2. Step 2: Convert to fraction form
    10,242.88/15,363.76 = 5,047/x
  3. Step 3: Cross multiply
    10,242.88x = 15,363.76 × 5,047
  4. Step 4: Simplify right side
    10,242.88x = 77,540,896.72
  5. Step 5: Solve for x
    x = 77,540,896.72/10,242.88
  6. Step 6: Final answer
    x = 7,570.22

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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.