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Finding the Fourth Proportional to 11,814.78, 17,719.74 and 5,572.11

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Solution

The fourth proportional to 11,814.78, 17,719.74 and 5,572.11 is: 8,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.78 : 17,719.74 = 5,572.11 : x
  2. Step 2: Convert to fraction form
    11,814.78/17,719.74 = 5,572.11/x
  3. Step 3: Cross multiply
    11,814.78x = 17,719.74 × 5,572.11
  4. Step 4: Simplify right side
    11,814.78x = 98,736,340.45
  5. Step 5: Solve for x
    x = 98,736,340.45/11,814.78
  6. Step 6: Final answer
    x = 8,357.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.