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Finding the Fourth Proportional to 10,574.09, 15,817.29 and 8,056.22

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Solution

The fourth proportional to 10,574.09, 15,817.29 and 8,056.22 is: 12,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.09 : 15,817.29 = 8,056.22 : x
  2. Step 2: Convert to fraction form
    10,574.09/15,817.29 = 8,056.22/x
  3. Step 3: Cross multiply
    10,574.09x = 15,817.29 × 8,056.22
  4. Step 4: Simplify right side
    10,574.09x = 127,427,568.04
  5. Step 5: Solve for x
    x = 127,427,568.04/10,574.09
  6. Step 6: Final answer
    x = 12,050.93

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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.