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Finding the Fourth Proportional to 11,522.32, 15,900.81 and 6,486.58

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Solution

The fourth proportional to 11,522.32, 15,900.81 and 6,486.58 is: 8,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.32 : 15,900.81 = 6,486.58 : x
  2. Step 2: Convert to fraction form
    11,522.32/15,900.81 = 6,486.58/x
  3. Step 3: Cross multiply
    11,522.32x = 15,900.81 × 6,486.58
  4. Step 4: Simplify right side
    11,522.32x = 103,141,836.38
  5. Step 5: Solve for x
    x = 103,141,836.38/11,522.32
  6. Step 6: Final answer
    x = 8,951.48

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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.