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Finding the Fourth Proportional to 8,379.93, 11,547.60 and 5,983.14

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Solution

The fourth proportional to 8,379.93, 11,547.60 and 5,983.14 is: 8,244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.93 : 11,547.60 = 5,983.14 : x
  2. Step 2: Convert to fraction form
    8,379.93/11,547.60 = 5,983.14/x
  3. Step 3: Cross multiply
    8,379.93x = 11,547.60 × 5,983.14
  4. Step 4: Simplify right side
    8,379.93x = 69,090,907.46
  5. Step 5: Solve for x
    x = 69,090,907.46/8,379.93
  6. Step 6: Final answer
    x = 8,244.81

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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.