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Finding the Fourth Proportional to 7,781.06, 11,678.60 and 5,276.19

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Solution

The fourth proportional to 7,781.06, 11,678.60 and 5,276.19 is: 7,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.06 : 11,678.60 = 5,276.19 : x
  2. Step 2: Convert to fraction form
    7,781.06/11,678.60 = 5,276.19/x
  3. Step 3: Cross multiply
    7,781.06x = 11,678.60 × 5,276.19
  4. Step 4: Simplify right side
    7,781.06x = 61,618,512.53
  5. Step 5: Solve for x
    x = 61,618,512.53/7,781.06
  6. Step 6: Final answer
    x = 7,919.04

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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.