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Finding the Fourth Proportional to 6,953.38, 10,424.59 and 3,440.93

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Solution

The fourth proportional to 6,953.38, 10,424.59 and 3,440.93 is: 5,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.38 : 10,424.59 = 3,440.93 : x
  2. Step 2: Convert to fraction form
    6,953.38/10,424.59 = 3,440.93/x
  3. Step 3: Cross multiply
    6,953.38x = 10,424.59 × 3,440.93
  4. Step 4: Simplify right side
    6,953.38x = 35,870,223.74
  5. Step 5: Solve for x
    x = 35,870,223.74/6,953.38
  6. Step 6: Final answer
    x = 5,158.68

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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.