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Finding the Fourth Proportional to 12,055.71, 16,637.18 and 6,751.61

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Solution

The fourth proportional to 12,055.71, 16,637.18 and 6,751.61 is: 9,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.71 : 16,637.18 = 6,751.61 : x
  2. Step 2: Convert to fraction form
    12,055.71/16,637.18 = 6,751.61/x
  3. Step 3: Cross multiply
    12,055.71x = 16,637.18 × 6,751.61
  4. Step 4: Simplify right side
    12,055.71x = 112,327,633.92
  5. Step 5: Solve for x
    x = 112,327,633.92/12,055.71
  6. Step 6: Final answer
    x = 9,317.38

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Why These Related Problems?

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