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Finding the Fourth Proportional to 11,404.99, 15,738.03 and 7,155.83

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Solution

The fourth proportional to 11,404.99, 15,738.03 and 7,155.83 is: 9,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.99 : 15,738.03 = 7,155.83 : x
  2. Step 2: Convert to fraction form
    11,404.99/15,738.03 = 7,155.83/x
  3. Step 3: Cross multiply
    11,404.99x = 15,738.03 × 7,155.83
  4. Step 4: Simplify right side
    11,404.99x = 112,618,592.09
  5. Step 5: Solve for x
    x = 112,618,592.09/11,404.99
  6. Step 6: Final answer
    x = 9,874.50

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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.