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Finding the Fourth Proportional to 12,657.83, 17,456.13 and 7,871.63

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Solution

The fourth proportional to 12,657.83, 17,456.13 and 7,871.63 is: 10,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.83 : 17,456.13 = 7,871.63 : x
  2. Step 2: Convert to fraction form
    12,657.83/17,456.13 = 7,871.63/x
  3. Step 3: Cross multiply
    12,657.83x = 17,456.13 × 7,871.63
  4. Step 4: Simplify right side
    12,657.83x = 137,408,109.31
  5. Step 5: Solve for x
    x = 137,408,109.31/12,657.83
  6. Step 6: Final answer
    x = 10,855.59

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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.