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Finding the Fourth Proportional to 7,781.36, 11,713.55 and 6,977.63

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Solution

The fourth proportional to 7,781.36, 11,713.55 and 6,977.63 is: 10,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.36 : 11,713.55 = 6,977.63 : x
  2. Step 2: Convert to fraction form
    7,781.36/11,713.55 = 6,977.63/x
  3. Step 3: Cross multiply
    7,781.36x = 11,713.55 × 6,977.63
  4. Step 4: Simplify right side
    7,781.36x = 81,732,724.43
  5. Step 5: Solve for x
    x = 81,732,724.43/7,781.36
  6. Step 6: Final answer
    x = 10,503.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.