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Finding the Fourth Proportional to 11,780.12, 17,671.80 and 4,853

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Solution

The fourth proportional to 11,780.12, 17,671.80 and 4,853 is: 7,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.12 : 17,671.80 = 4,853 : x
  2. Step 2: Convert to fraction form
    11,780.12/17,671.80 = 4,853/x
  3. Step 3: Cross multiply
    11,780.12x = 17,671.80 × 4,853
  4. Step 4: Simplify right side
    11,780.12x = 85,761,245.40
  5. Step 5: Solve for x
    x = 85,761,245.40/11,780.12
  6. Step 6: Final answer
    x = 7,280.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.