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Finding the Fourth Proportional to 7,724.10, 10,659.93 and 6,462.93

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Solution

The fourth proportional to 7,724.10, 10,659.93 and 6,462.93 is: 8,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.10 : 10,659.93 = 6,462.93 : x
  2. Step 2: Convert to fraction form
    7,724.10/10,659.93 = 6,462.93/x
  3. Step 3: Cross multiply
    7,724.10x = 10,659.93 × 6,462.93
  4. Step 4: Simplify right side
    7,724.10x = 68,894,381.39
  5. Step 5: Solve for x
    x = 68,894,381.39/7,724.10
  6. Step 6: Final answer
    x = 8,919.41

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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.