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Finding the Fourth Proportional to 8,544.96, 11,787.54 and 5,887.80

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Solution

The fourth proportional to 8,544.96, 11,787.54 and 5,887.80 is: 8,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.96 : 11,787.54 = 5,887.80 : x
  2. Step 2: Convert to fraction form
    8,544.96/11,787.54 = 5,887.80/x
  3. Step 3: Cross multiply
    8,544.96x = 11,787.54 × 5,887.80
  4. Step 4: Simplify right side
    8,544.96x = 69,402,678.01
  5. Step 5: Solve for x
    x = 69,402,678.01/8,544.96
  6. Step 6: Final answer
    x = 8,122.06

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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.