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Finding the Fourth Proportional to 12,095.74, 16,690.98 and 6,789.52

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Solution

The fourth proportional to 12,095.74, 16,690.98 and 6,789.52 is: 9,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.74 : 16,690.98 = 6,789.52 : x
  2. Step 2: Convert to fraction form
    12,095.74/16,690.98 = 6,789.52/x
  3. Step 3: Cross multiply
    12,095.74x = 16,690.98 × 6,789.52
  4. Step 4: Simplify right side
    12,095.74x = 113,323,742.53
  5. Step 5: Solve for x
    x = 113,323,742.53/12,095.74
  6. Step 6: Final answer
    x = 9,368.90

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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.