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Finding the Fourth Proportional to 10,510.73, 15,767.21 and 4,269.81

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Solution

The fourth proportional to 10,510.73, 15,767.21 and 4,269.81 is: 6,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.73 : 15,767.21 = 4,269.81 : x
  2. Step 2: Convert to fraction form
    10,510.73/15,767.21 = 4,269.81/x
  3. Step 3: Cross multiply
    10,510.73x = 15,767.21 × 4,269.81
  4. Step 4: Simplify right side
    10,510.73x = 67,322,990.93
  5. Step 5: Solve for x
    x = 67,322,990.93/10,510.73
  6. Step 6: Final answer
    x = 6,405.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.