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Finding the Fourth Proportional to 8,533.96, 11,766.24 and 7,119.70

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Solution

The fourth proportional to 8,533.96, 11,766.24 and 7,119.70 is: 9,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.96 : 11,766.24 = 7,119.70 : x
  2. Step 2: Convert to fraction form
    8,533.96/11,766.24 = 7,119.70/x
  3. Step 3: Cross multiply
    8,533.96x = 11,766.24 × 7,119.70
  4. Step 4: Simplify right side
    8,533.96x = 83,772,098.93
  5. Step 5: Solve for x
    x = 83,772,098.93/8,533.96
  6. Step 6: Final answer
    x = 9,816.32

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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.