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Finding the Fourth Proportional to 10,864.70, 16,297.05 and 5,020.55

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Solution

The fourth proportional to 10,864.70, 16,297.05 and 5,020.55 is: 7,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.70 : 16,297.05 = 5,020.55 : x
  2. Step 2: Convert to fraction form
    10,864.70/16,297.05 = 5,020.55/x
  3. Step 3: Cross multiply
    10,864.70x = 16,297.05 × 5,020.55
  4. Step 4: Simplify right side
    10,864.70x = 81,820,047.79
  5. Step 5: Solve for x
    x = 81,820,047.79/10,864.70
  6. Step 6: Final answer
    x = 7,530.82

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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.