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Finding the Fourth Proportional to 7,776.61, 10,727.84 and 5,123.05

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Solution

The fourth proportional to 7,776.61, 10,727.84 and 5,123.05 is: 7,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.61 : 10,727.84 = 5,123.05 : x
  2. Step 2: Convert to fraction form
    7,776.61/10,727.84 = 5,123.05/x
  3. Step 3: Cross multiply
    7,776.61x = 10,727.84 × 5,123.05
  4. Step 4: Simplify right side
    7,776.61x = 54,959,246.70
  5. Step 5: Solve for x
    x = 54,959,246.70/7,776.61
  6. Step 6: Final answer
    x = 7,067.25

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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.