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Finding the Fourth Proportional to 7,776.71, 10,732.37 and 4,418.25

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Solution

The fourth proportional to 7,776.71, 10,732.37 and 4,418.25 is: 6,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.71 : 10,732.37 = 4,418.25 : x
  2. Step 2: Convert to fraction form
    7,776.71/10,732.37 = 4,418.25/x
  3. Step 3: Cross multiply
    7,776.71x = 10,732.37 × 4,418.25
  4. Step 4: Simplify right side
    7,776.71x = 47,418,231.41
  5. Step 5: Solve for x
    x = 47,418,231.41/7,776.71
  6. Step 6: Final answer
    x = 6,097.47

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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.