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Finding the Fourth Proportional to 8,662.76, 11,948.46 and 8,533.16

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Solution

The fourth proportional to 8,662.76, 11,948.46 and 8,533.16 is: 11,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.76 : 11,948.46 = 8,533.16 : x
  2. Step 2: Convert to fraction form
    8,662.76/11,948.46 = 8,533.16/x
  3. Step 3: Cross multiply
    8,662.76x = 11,948.46 × 8,533.16
  4. Step 4: Simplify right side
    8,662.76x = 101,958,061.19
  5. Step 5: Solve for x
    x = 101,958,061.19/8,662.76
  6. Step 6: Final answer
    x = 11,769.70

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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.