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Finding the Fourth Proportional to 7,724.61, 10,660.04 and 4,187.81

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Solution

The fourth proportional to 7,724.61, 10,660.04 and 4,187.81 is: 5,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.61 : 10,660.04 = 4,187.81 : x
  2. Step 2: Convert to fraction form
    7,724.61/10,660.04 = 4,187.81/x
  3. Step 3: Cross multiply
    7,724.61x = 10,660.04 × 4,187.81
  4. Step 4: Simplify right side
    7,724.61x = 44,642,147.87
  5. Step 5: Solve for x
    x = 44,642,147.87/7,724.61
  6. Step 6: Final answer
    x = 5,779.21

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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.