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Finding the Fourth Proportional to 10,919.64, 15,065.82 and 6,203.88

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Solution

The fourth proportional to 10,919.64, 15,065.82 and 6,203.88 is: 8,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.64 : 15,065.82 = 6,203.88 : x
  2. Step 2: Convert to fraction form
    10,919.64/15,065.82 = 6,203.88/x
  3. Step 3: Cross multiply
    10,919.64x = 15,065.82 × 6,203.88
  4. Step 4: Simplify right side
    10,919.64x = 93,466,539.38
  5. Step 5: Solve for x
    x = 93,466,539.38/10,919.64
  6. Step 6: Final answer
    x = 8,559.49

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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.