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Finding the Fourth Proportional to 11,502.06, 15,863.72 and 7,464.48

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Solution

The fourth proportional to 11,502.06, 15,863.72 and 7,464.48 is: 10,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.06 : 15,863.72 = 7,464.48 : x
  2. Step 2: Convert to fraction form
    11,502.06/15,863.72 = 7,464.48/x
  3. Step 3: Cross multiply
    11,502.06x = 15,863.72 × 7,464.48
  4. Step 4: Simplify right side
    11,502.06x = 118,414,420.67
  5. Step 5: Solve for x
    x = 118,414,420.67/11,502.06
  6. Step 6: Final answer
    x = 10,295.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.