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Finding the Fourth Proportional to 7,781.49, 11,671.83 and 4,278.24

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Solution

The fourth proportional to 7,781.49, 11,671.83 and 4,278.24 is: 6,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.49 : 11,671.83 = 4,278.24 : x
  2. Step 2: Convert to fraction form
    7,781.49/11,671.83 = 4,278.24/x
  3. Step 3: Cross multiply
    7,781.49x = 11,671.83 × 4,278.24
  4. Step 4: Simplify right side
    7,781.49x = 49,934,889.98
  5. Step 5: Solve for x
    x = 49,934,889.98/7,781.49
  6. Step 6: Final answer
    x = 6,417.14

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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.