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Finding the Fourth Proportional to 11,805.48, 17,710.65 and 4,408.16

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Solution

The fourth proportional to 11,805.48, 17,710.65 and 4,408.16 is: 6,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.48 : 17,710.65 = 4,408.16 : x
  2. Step 2: Convert to fraction form
    11,805.48/17,710.65 = 4,408.16/x
  3. Step 3: Cross multiply
    11,805.48x = 17,710.65 × 4,408.16
  4. Step 4: Simplify right side
    11,805.48x = 78,071,290.35
  5. Step 5: Solve for x
    x = 78,071,290.35/11,805.48
  6. Step 6: Final answer
    x = 6,613.14

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