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Finding the Fourth Proportional to 12,095.32, 16,691.98 and 7,062.76

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Solution

The fourth proportional to 12,095.32, 16,691.98 and 7,062.76 is: 9,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.32 : 16,691.98 = 7,062.76 : x
  2. Step 2: Convert to fraction form
    12,095.32/16,691.98 = 7,062.76/x
  3. Step 3: Cross multiply
    12,095.32x = 16,691.98 × 7,062.76
  4. Step 4: Simplify right side
    12,095.32x = 117,891,448.66
  5. Step 5: Solve for x
    x = 117,891,448.66/12,095.32
  6. Step 6: Final answer
    x = 9,746.86

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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.