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Finding the Fourth Proportional to 10,157.69, 14,017.10 and 5,908.05

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Solution

The fourth proportional to 10,157.69, 14,017.10 and 5,908.05 is: 8,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.69 : 14,017.10 = 5,908.05 : x
  2. Step 2: Convert to fraction form
    10,157.69/14,017.10 = 5,908.05/x
  3. Step 3: Cross multiply
    10,157.69x = 14,017.10 × 5,908.05
  4. Step 4: Simplify right side
    10,157.69x = 82,813,698.11
  5. Step 5: Solve for x
    x = 82,813,698.11/10,157.69
  6. Step 6: Final answer
    x = 8,152.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.