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Finding the Fourth Proportional to 11,354.16, 15,667.38 and 6,317.10

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Solution

The fourth proportional to 11,354.16, 15,667.38 and 6,317.10 is: 8,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.16 : 15,667.38 = 6,317.10 : x
  2. Step 2: Convert to fraction form
    11,354.16/15,667.38 = 6,317.10/x
  3. Step 3: Cross multiply
    11,354.16x = 15,667.38 × 6,317.10
  4. Step 4: Simplify right side
    11,354.16x = 98,972,406.20
  5. Step 5: Solve for x
    x = 98,972,406.20/11,354.16
  6. Step 6: Final answer
    x = 8,716.84

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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.