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Finding the Fourth Proportional to 11,432.32, 17,155.04 and 6,167.32

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Solution

The fourth proportional to 11,432.32, 17,155.04 and 6,167.32 is: 9,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.32 : 17,155.04 = 6,167.32 : x
  2. Step 2: Convert to fraction form
    11,432.32/17,155.04 = 6,167.32/x
  3. Step 3: Cross multiply
    11,432.32x = 17,155.04 × 6,167.32
  4. Step 4: Simplify right side
    11,432.32x = 105,800,547.57
  5. Step 5: Solve for x
    x = 105,800,547.57/11,432.32
  6. Step 6: Final answer
    x = 9,254.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.