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Finding the Fourth Proportional to 7,724.64, 10,660.01 and 4,187.87

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Solution

The fourth proportional to 7,724.64, 10,660.01 and 4,187.87 is: 5,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.64 : 10,660.01 = 4,187.87 : x
  2. Step 2: Convert to fraction form
    7,724.64/10,660.01 = 4,187.87/x
  3. Step 3: Cross multiply
    7,724.64x = 10,660.01 × 4,187.87
  4. Step 4: Simplify right side
    7,724.64x = 44,642,736.08
  5. Step 5: Solve for x
    x = 44,642,736.08/7,724.64
  6. Step 6: Final answer
    x = 5,779.26

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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.