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Finding the Fourth Proportional to 7,771.61, 10,727.24 and 7,374.81

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Solution

The fourth proportional to 7,771.61, 10,727.24 and 7,374.81 is: 10,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.61 : 10,727.24 = 7,374.81 : x
  2. Step 2: Convert to fraction form
    7,771.61/10,727.24 = 7,374.81/x
  3. Step 3: Cross multiply
    7,771.61x = 10,727.24 × 7,374.81
  4. Step 4: Simplify right side
    7,771.61x = 79,111,360.18
  5. Step 5: Solve for x
    x = 79,111,360.18/7,771.61
  6. Step 6: Final answer
    x = 10,179.53

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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.