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Finding the Fourth Proportional to 11,178.62, 15,433.25 and 7,404.99

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Solution

The fourth proportional to 11,178.62, 15,433.25 and 7,404.99 is: 10,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.62 : 15,433.25 = 7,404.99 : x
  2. Step 2: Convert to fraction form
    11,178.62/15,433.25 = 7,404.99/x
  3. Step 3: Cross multiply
    11,178.62x = 15,433.25 × 7,404.99
  4. Step 4: Simplify right side
    11,178.62x = 114,283,024.89
  5. Step 5: Solve for x
    x = 114,283,024.89/11,178.62
  6. Step 6: Final answer
    x = 10,223.36

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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.