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Finding the Fourth Proportional to 7,780.66, 10,737.63 and 4,424.05

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Solution

The fourth proportional to 7,780.66, 10,737.63 and 4,424.05 is: 6,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.66 : 10,737.63 = 4,424.05 : x
  2. Step 2: Convert to fraction form
    7,780.66/10,737.63 = 4,424.05/x
  3. Step 3: Cross multiply
    7,780.66x = 10,737.63 × 4,424.05
  4. Step 4: Simplify right side
    7,780.66x = 47,503,825.42
  5. Step 5: Solve for x
    x = 47,503,825.42/7,780.66
  6. Step 6: Final answer
    x = 6,105.37

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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.