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Finding the Fourth Proportional to 7,780.14, 11,672.94 and 3,397.94

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Solution

The fourth proportional to 7,780.14, 11,672.94 and 3,397.94 is: 5,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.14 : 11,672.94 = 3,397.94 : x
  2. Step 2: Convert to fraction form
    7,780.14/11,672.94 = 3,397.94/x
  3. Step 3: Cross multiply
    7,780.14x = 11,672.94 × 3,397.94
  4. Step 4: Simplify right side
    7,780.14x = 39,663,949.74
  5. Step 5: Solve for x
    x = 39,663,949.74/7,780.14
  6. Step 6: Final answer
    x = 5,098.10

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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.