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Finding the Fourth Proportional to 10,968.64, 16,454.40 and 5,774.88

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Solution

The fourth proportional to 10,968.64, 16,454.40 and 5,774.88 is: 8,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.64 : 16,454.40 = 5,774.88 : x
  2. Step 2: Convert to fraction form
    10,968.64/16,454.40 = 5,774.88/x
  3. Step 3: Cross multiply
    10,968.64x = 16,454.40 × 5,774.88
  4. Step 4: Simplify right side
    10,968.64x = 95,022,185.47
  5. Step 5: Solve for x
    x = 95,022,185.47/10,968.64
  6. Step 6: Final answer
    x = 8,663.08

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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.