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Finding the Fourth Proportional to 10,147.80, 14,005.30 and 5,672.49

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Solution

The fourth proportional to 10,147.80, 14,005.30 and 5,672.49 is: 7,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.80 : 14,005.30 = 5,672.49 : x
  2. Step 2: Convert to fraction form
    10,147.80/14,005.30 = 5,672.49/x
  3. Step 3: Cross multiply
    10,147.80x = 14,005.30 × 5,672.49
  4. Step 4: Simplify right side
    10,147.80x = 79,444,924.20
  5. Step 5: Solve for x
    x = 79,444,924.20/10,147.80
  6. Step 6: Final answer
    x = 7,828.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.