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Finding the Fourth Proportional to 8,681.45, 11,980.31 and 4,702.46

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Solution

The fourth proportional to 8,681.45, 11,980.31 and 4,702.46 is: 6,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.45 : 11,980.31 = 4,702.46 : x
  2. Step 2: Convert to fraction form
    8,681.45/11,980.31 = 4,702.46/x
  3. Step 3: Cross multiply
    8,681.45x = 11,980.31 × 4,702.46
  4. Step 4: Simplify right side
    8,681.45x = 56,336,845.15
  5. Step 5: Solve for x
    x = 56,336,845.15/8,681.45
  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.