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Finding the Fourth Proportional to 8,345.92, 11,532.72 and 5,984.32

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Solution

The fourth proportional to 8,345.92, 11,532.72 and 5,984.32 is: 8,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.92 : 11,532.72 = 5,984.32 : x
  2. Step 2: Convert to fraction form
    8,345.92/11,532.72 = 5,984.32/x
  3. Step 3: Cross multiply
    8,345.92x = 11,532.72 × 5,984.32
  4. Step 4: Simplify right side
    8,345.92x = 69,015,486.95
  5. Step 5: Solve for x
    x = 69,015,486.95/8,345.92
  6. Step 6: Final answer
    x = 8,269.37

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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.