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Finding the Fourth Proportional to 10,764.66, 16,117.04 and 5,488.30

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Solution

The fourth proportional to 10,764.66, 16,117.04 and 5,488.30 is: 8,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.66 : 16,117.04 = 5,488.30 : x
  2. Step 2: Convert to fraction form
    10,764.66/16,117.04 = 5,488.30/x
  3. Step 3: Cross multiply
    10,764.66x = 16,117.04 × 5,488.30
  4. Step 4: Simplify right side
    10,764.66x = 88,455,184.50
  5. Step 5: Solve for x
    x = 88,455,184.50/10,764.66
  6. Step 6: Final answer
    x = 8,217.18

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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.