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Finding the Fourth Proportional to 10,309, 14,226.28 and 5,593.45

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Solution

The fourth proportional to 10,309, 14,226.28 and 5,593.45 is: 7,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309 : 14,226.28 = 5,593.45 : x
  2. Step 2: Convert to fraction form
    10,309/14,226.28 = 5,593.45/x
  3. Step 3: Cross multiply
    10,309x = 14,226.28 × 5,593.45
  4. Step 4: Simplify right side
    10,309x = 79,573,985.87
  5. Step 5: Solve for x
    x = 79,573,985.87/10,309
  6. Step 6: Final answer
    x = 7,718.89

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