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Finding the Fourth Proportional to 6,724.32, 10,088.64 and 3,950.40

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Solution

The fourth proportional to 6,724.32, 10,088.64 and 3,950.40 is: 5,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.32 : 10,088.64 = 3,950.40 : x
  2. Step 2: Convert to fraction form
    6,724.32/10,088.64 = 3,950.40/x
  3. Step 3: Cross multiply
    6,724.32x = 10,088.64 × 3,950.40
  4. Step 4: Simplify right side
    6,724.32x = 39,854,163.46
  5. Step 5: Solve for x
    x = 39,854,163.46/6,724.32
  6. Step 6: Final answer
    x = 5,926.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.