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Finding the Fourth Proportional to 10,706.10, 16,053.66 and 4,134.18

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Solution

The fourth proportional to 10,706.10, 16,053.66 and 4,134.18 is: 6,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.10 : 16,053.66 = 4,134.18 : x
  2. Step 2: Convert to fraction form
    10,706.10/16,053.66 = 4,134.18/x
  3. Step 3: Cross multiply
    10,706.10x = 16,053.66 × 4,134.18
  4. Step 4: Simplify right side
    10,706.10x = 66,368,720.10
  5. Step 5: Solve for x
    x = 66,368,720.10/10,706.10
  6. Step 6: Final answer
    x = 6,199.15

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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.