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Finding the Fourth Proportional to 10,702.06, 14,768.73 and 5,986.38

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Solution

The fourth proportional to 10,702.06, 14,768.73 and 5,986.38 is: 8,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.06 : 14,768.73 = 5,986.38 : x
  2. Step 2: Convert to fraction form
    10,702.06/14,768.73 = 5,986.38/x
  3. Step 3: Cross multiply
    10,702.06x = 14,768.73 × 5,986.38
  4. Step 4: Simplify right side
    10,702.06x = 88,411,229.90
  5. Step 5: Solve for x
    x = 88,411,229.90/10,702.06
  6. Step 6: Final answer
    x = 8,261.14

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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.