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Finding the Fourth Proportional to 10,315.56, 15,468.24 and 7,352.40

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Solution

The fourth proportional to 10,315.56, 15,468.24 and 7,352.40 is: 11,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.56 : 15,468.24 = 7,352.40 : x
  2. Step 2: Convert to fraction form
    10,315.56/15,468.24 = 7,352.40/x
  3. Step 3: Cross multiply
    10,315.56x = 15,468.24 × 7,352.40
  4. Step 4: Simplify right side
    10,315.56x = 113,728,687.78
  5. Step 5: Solve for x
    x = 113,728,687.78/10,315.56
  6. Step 6: Final answer
    x = 11,024.96

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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.