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Finding the Fourth Proportional to 7,781.77, 10,738.60 and 4,424.95

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Solution

The fourth proportional to 7,781.77, 10,738.60 and 4,424.95 is: 6,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.77 : 10,738.60 = 4,424.95 : x
  2. Step 2: Convert to fraction form
    7,781.77/10,738.60 = 4,424.95/x
  3. Step 3: Cross multiply
    7,781.77x = 10,738.60 × 4,424.95
  4. Step 4: Simplify right side
    7,781.77x = 47,517,768.07
  5. Step 5: Solve for x
    x = 47,517,768.07/7,781.77
  6. Step 6: Final answer
    x = 6,106.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.