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Finding the Fourth Proportional to 10,630.46, 14,668.05 and 5,914.74

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Solution

The fourth proportional to 10,630.46, 14,668.05 and 5,914.74 is: 8,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.46 : 14,668.05 = 5,914.74 : x
  2. Step 2: Convert to fraction form
    10,630.46/14,668.05 = 5,914.74/x
  3. Step 3: Cross multiply
    10,630.46x = 14,668.05 × 5,914.74
  4. Step 4: Simplify right side
    10,630.46x = 86,757,702.06
  5. Step 5: Solve for x
    x = 86,757,702.06/10,630.46
  6. Step 6: Final answer
    x = 8,161.24

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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.