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Finding the Fourth Proportional to 10,705.42, 15,998.81 and 8,602.26

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Solution

The fourth proportional to 10,705.42, 15,998.81 and 8,602.26 is: 12,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.42 : 15,998.81 = 8,602.26 : x
  2. Step 2: Convert to fraction form
    10,705.42/15,998.81 = 8,602.26/x
  3. Step 3: Cross multiply
    10,705.42x = 15,998.81 × 8,602.26
  4. Step 4: Simplify right side
    10,705.42x = 137,625,923.31
  5. Step 5: Solve for x
    x = 137,625,923.31/10,705.42
  6. Step 6: Final answer
    x = 12,855.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.