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Finding the Fourth Proportional to 10,630.68, 14,668.20 and 6,152.82

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Solution

The fourth proportional to 10,630.68, 14,668.20 and 6,152.82 is: 8,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.68 : 14,668.20 = 6,152.82 : x
  2. Step 2: Convert to fraction form
    10,630.68/14,668.20 = 6,152.82/x
  3. Step 3: Cross multiply
    10,630.68x = 14,668.20 × 6,152.82
  4. Step 4: Simplify right side
    10,630.68x = 90,250,794.32
  5. Step 5: Solve for x
    x = 90,250,794.32/10,630.68
  6. Step 6: Final answer
    x = 8,489.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.