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Finding the Fourth Proportional to 8,317.66, 11,480.25 and 5,666.13

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Solution

The fourth proportional to 8,317.66, 11,480.25 and 5,666.13 is: 7,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.66 : 11,480.25 = 5,666.13 : x
  2. Step 2: Convert to fraction form
    8,317.66/11,480.25 = 5,666.13/x
  3. Step 3: Cross multiply
    8,317.66x = 11,480.25 × 5,666.13
  4. Step 4: Simplify right side
    8,317.66x = 65,048,588.93
  5. Step 5: Solve for x
    x = 65,048,588.93/8,317.66
  6. Step 6: Final answer
    x = 7,820.54

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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.