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Finding the Fourth Proportional to 12,095.39, 16,691.33 and 7,059.83

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Solution

The fourth proportional to 12,095.39, 16,691.33 and 7,059.83 is: 9,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.39 : 16,691.33 = 7,059.83 : x
  2. Step 2: Convert to fraction form
    12,095.39/16,691.33 = 7,059.83/x
  3. Step 3: Cross multiply
    12,095.39x = 16,691.33 × 7,059.83
  4. Step 4: Simplify right side
    12,095.39x = 117,837,886.47
  5. Step 5: Solve for x
    x = 117,837,886.47/12,095.39
  6. Step 6: Final answer
    x = 9,742.38

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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.