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Finding the Fourth Proportional to 12,009.42, 16,581.78 and 7,763

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Solution

The fourth proportional to 12,009.42, 16,581.78 and 7,763 is: 10,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.42 : 16,581.78 = 7,763 : x
  2. Step 2: Convert to fraction form
    12,009.42/16,581.78 = 7,763/x
  3. Step 3: Cross multiply
    12,009.42x = 16,581.78 × 7,763
  4. Step 4: Simplify right side
    12,009.42x = 128,724,358.14
  5. Step 5: Solve for x
    x = 128,724,358.14/12,009.42
  6. Step 6: Final answer
    x = 10,718.62

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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.