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Finding the Fourth Proportional to 11,542.84, 15,928.32 and 6,507.24

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Solution

The fourth proportional to 11,542.84, 15,928.32 and 6,507.24 is: 8,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.84 : 15,928.32 = 6,507.24 : x
  2. Step 2: Convert to fraction form
    11,542.84/15,928.32 = 6,507.24/x
  3. Step 3: Cross multiply
    11,542.84x = 15,928.32 × 6,507.24
  4. Step 4: Simplify right side
    11,542.84x = 103,649,401.04
  5. Step 5: Solve for x
    x = 103,649,401.04/11,542.84
  6. Step 6: Final answer
    x = 8,979.54

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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.