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Finding the Fourth Proportional to 10,232.88, 15,356.88 and 6,952.56

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Solution

The fourth proportional to 10,232.88, 15,356.88 and 6,952.56 is: 10,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.88 : 15,356.88 = 6,952.56 : x
  2. Step 2: Convert to fraction form
    10,232.88/15,356.88 = 6,952.56/x
  3. Step 3: Cross multiply
    10,232.88x = 15,356.88 × 6,952.56
  4. Step 4: Simplify right side
    10,232.88x = 106,769,629.61
  5. Step 5: Solve for x
    x = 106,769,629.61/10,232.88
  6. Step 6: Final answer
    x = 10,433.98

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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.