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Finding the Fourth Proportional to 8,681.30, 11,980.20 and 4,702.42

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Solution

The fourth proportional to 8,681.30, 11,980.20 and 4,702.42 is: 6,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.30 : 11,980.20 = 4,702.42 : x
  2. Step 2: Convert to fraction form
    8,681.30/11,980.20 = 4,702.42/x
  3. Step 3: Cross multiply
    8,681.30x = 11,980.20 × 4,702.42
  4. Step 4: Simplify right side
    8,681.30x = 56,335,932.08
  5. Step 5: Solve for x
    x = 56,335,932.08/8,681.30
  6. Step 6: Final answer
    x = 6,489.34

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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.