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Finding the Fourth Proportional to 10,308.88, 14,226.19 and 5,593.06

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Solution

The fourth proportional to 10,308.88, 14,226.19 and 5,593.06 is: 7,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.88 : 14,226.19 = 5,593.06 : x
  2. Step 2: Convert to fraction form
    10,308.88/14,226.19 = 5,593.06/x
  3. Step 3: Cross multiply
    10,308.88x = 14,226.19 × 5,593.06
  4. Step 4: Simplify right side
    10,308.88x = 79,567,934.24
  5. Step 5: Solve for x
    x = 79,567,934.24/10,308.88
  6. Step 6: Final answer
    x = 7,718.39

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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.