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Finding the Fourth Proportional to 7,914.78, 11,813.72 and 6,980.92

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Solution

The fourth proportional to 7,914.78, 11,813.72 and 6,980.92 is: 10,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.78 : 11,813.72 = 6,980.92 : x
  2. Step 2: Convert to fraction form
    7,914.78/11,813.72 = 6,980.92/x
  3. Step 3: Cross multiply
    7,914.78x = 11,813.72 × 6,980.92
  4. Step 4: Simplify right side
    7,914.78x = 82,470,569.78
  5. Step 5: Solve for x
    x = 82,470,569.78/7,914.78
  6. Step 6: Final answer
    x = 10,419.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.