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Finding the Fourth Proportional to 10,671.68, 16,012.80 and 4,827.68

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Solution

The fourth proportional to 10,671.68, 16,012.80 and 4,827.68 is: 7,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.68 : 16,012.80 = 4,827.68 : x
  2. Step 2: Convert to fraction form
    10,671.68/16,012.80 = 4,827.68/x
  3. Step 3: Cross multiply
    10,671.68x = 16,012.80 × 4,827.68
  4. Step 4: Simplify right side
    10,671.68x = 77,304,674.30
  5. Step 5: Solve for x
    x = 77,304,674.30/10,671.68
  6. Step 6: Final answer
    x = 7,243.91

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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.