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Finding the Fourth Proportional to 8,328.66, 11,495.43 and 5,677.13

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Solution

The fourth proportional to 8,328.66, 11,495.43 and 5,677.13 is: 7,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.66 : 11,495.43 = 5,677.13 : x
  2. Step 2: Convert to fraction form
    8,328.66/11,495.43 = 5,677.13/x
  3. Step 3: Cross multiply
    8,328.66x = 11,495.43 × 5,677.13
  4. Step 4: Simplify right side
    8,328.66x = 65,260,993.04
  5. Step 5: Solve for x
    x = 65,260,993.04/8,328.66
  6. Step 6: Final answer
    x = 7,835.71

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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.