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Finding the Fourth Proportional to 10,702.64, 14,770.20 and 5,987

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Solution

The fourth proportional to 10,702.64, 14,770.20 and 5,987 is: 8,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.64 : 14,770.20 = 5,987 : x
  2. Step 2: Convert to fraction form
    10,702.64/14,770.20 = 5,987/x
  3. Step 3: Cross multiply
    10,702.64x = 14,770.20 × 5,987
  4. Step 4: Simplify right side
    10,702.64x = 88,429,187.40
  5. Step 5: Solve for x
    x = 88,429,187.40/10,702.64
  6. Step 6: Final answer
    x = 8,262.37

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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.