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Finding the Fourth Proportional to 11,354.34, 15,667.59 and 6,317.22

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Solution

The fourth proportional to 11,354.34, 15,667.59 and 6,317.22 is: 8,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.34 : 15,667.59 = 6,317.22 : x
  2. Step 2: Convert to fraction form
    11,354.34/15,667.59 = 6,317.22/x
  3. Step 3: Cross multiply
    11,354.34x = 15,667.59 × 6,317.22
  4. Step 4: Simplify right side
    11,354.34x = 98,975,612.90
  5. Step 5: Solve for x
    x = 98,975,612.90/11,354.34
  6. Step 6: Final answer
    x = 8,716.99

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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.