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Finding the Fourth Proportional to 11,204.32, 15,462.32 and 6,424.96

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Solution

The fourth proportional to 11,204.32, 15,462.32 and 6,424.96 is: 8,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.32 : 15,462.32 = 6,424.96 : x
  2. Step 2: Convert to fraction form
    11,204.32/15,462.32 = 6,424.96/x
  3. Step 3: Cross multiply
    11,204.32x = 15,462.32 × 6,424.96
  4. Step 4: Simplify right side
    11,204.32x = 99,344,787.51
  5. Step 5: Solve for x
    x = 99,344,787.51/11,204.32
  6. Step 6: Final answer
    x = 8,866.65

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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.