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Finding the Fourth Proportional to 10,468.88, 14,447.40 and 5,753.32

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Solution

The fourth proportional to 10,468.88, 14,447.40 and 5,753.32 is: 7,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.88 : 14,447.40 = 5,753.32 : x
  2. Step 2: Convert to fraction form
    10,468.88/14,447.40 = 5,753.32/x
  3. Step 3: Cross multiply
    10,468.88x = 14,447.40 × 5,753.32
  4. Step 4: Simplify right side
    10,468.88x = 83,120,515.37
  5. Step 5: Solve for x
    x = 83,120,515.37/10,468.88
  6. Step 6: Final answer
    x = 7,939.77

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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.