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Finding the Fourth Proportional to 11,205.96, 15,464.16 and 6,490.14

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Solution

The fourth proportional to 11,205.96, 15,464.16 and 6,490.14 is: 8,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.96 : 15,464.16 = 6,490.14 : x
  2. Step 2: Convert to fraction form
    11,205.96/15,464.16 = 6,490.14/x
  3. Step 3: Cross multiply
    11,205.96x = 15,464.16 × 6,490.14
  4. Step 4: Simplify right side
    11,205.96x = 100,364,563.38
  5. Step 5: Solve for x
    x = 100,364,563.38/11,205.96
  6. Step 6: Final answer
    x = 8,956.36

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Why These Related Problems?

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