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Finding the Fourth Proportional to 10,331.64, 14,238 and 7,494.12

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Solution

The fourth proportional to 10,331.64, 14,238 and 7,494.12 is: 10,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.64 : 14,238 = 7,494.12 : x
  2. Step 2: Convert to fraction form
    10,331.64/14,238 = 7,494.12/x
  3. Step 3: Cross multiply
    10,331.64x = 14,238 × 7,494.12
  4. Step 4: Simplify right side
    10,331.64x = 106,701,280.56
  5. Step 5: Solve for x
    x = 106,701,280.56/10,331.64
  6. Step 6: Final answer
    x = 10,327.62

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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.