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Finding the Fourth Proportional to 7,071.46, 10,599.89 and 2,389.93

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Solution

The fourth proportional to 7,071.46, 10,599.89 and 2,389.93 is: 3,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.46 : 10,599.89 = 2,389.93 : x
  2. Step 2: Convert to fraction form
    7,071.46/10,599.89 = 2,389.93/x
  3. Step 3: Cross multiply
    7,071.46x = 10,599.89 × 2,389.93
  4. Step 4: Simplify right side
    7,071.46x = 25,332,956.66
  5. Step 5: Solve for x
    x = 25,332,956.66/7,071.46
  6. Step 6: Final answer
    x = 3,582.42

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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.