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Finding the Fourth Proportional to 8,106.76, 12,160.14 and 1,950.76

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Solution

The fourth proportional to 8,106.76, 12,160.14 and 1,950.76 is: 2,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.76 : 12,160.14 = 1,950.76 : x
  2. Step 2: Convert to fraction form
    8,106.76/12,160.14 = 1,950.76/x
  3. Step 3: Cross multiply
    8,106.76x = 12,160.14 × 1,950.76
  4. Step 4: Simplify right side
    8,106.76x = 23,721,514.71
  5. Step 5: Solve for x
    x = 23,721,514.71/8,106.76
  6. Step 6: Final answer
    x = 2,926.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.