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Finding the Fourth Proportional to 10,827.80, 16,248.18 and 4,671.80

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Solution

The fourth proportional to 10,827.80, 16,248.18 and 4,671.80 is: 7,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.80 : 16,248.18 = 4,671.80 : x
  2. Step 2: Convert to fraction form
    10,827.80/16,248.18 = 4,671.80/x
  3. Step 3: Cross multiply
    10,827.80x = 16,248.18 × 4,671.80
  4. Step 4: Simplify right side
    10,827.80x = 75,908,183.34
  5. Step 5: Solve for x
    x = 75,908,183.34/10,827.80
  6. Step 6: Final answer
    x = 7,010.49

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Why These Related Problems?

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