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Finding the Fourth Proportional to 7,502.14, 10,353.23 and 4,358.17

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Solution

The fourth proportional to 7,502.14, 10,353.23 and 4,358.17 is: 6,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.14 : 10,353.23 = 4,358.17 : x
  2. Step 2: Convert to fraction form
    7,502.14/10,353.23 = 4,358.17/x
  3. Step 3: Cross multiply
    7,502.14x = 10,353.23 × 4,358.17
  4. Step 4: Simplify right side
    7,502.14x = 45,121,136.39
  5. Step 5: Solve for x
    x = 45,121,136.39/7,502.14
  6. Step 6: Final answer
    x = 6,014.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.