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Finding the Fourth Proportional to 11,317.77, 15,613.11 and 6,778.26

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Solution

The fourth proportional to 11,317.77, 15,613.11 and 6,778.26 is: 9,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.77 : 15,613.11 = 6,778.26 : x
  2. Step 2: Convert to fraction form
    11,317.77/15,613.11 = 6,778.26/x
  3. Step 3: Cross multiply
    11,317.77x = 15,613.11 × 6,778.26
  4. Step 4: Simplify right side
    11,317.77x = 105,829,718.99
  5. Step 5: Solve for x
    x = 105,829,718.99/11,317.77
  6. Step 6: Final answer
    x = 9,350.76

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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.