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Finding the Fourth Proportional to 10,351.94, 14,288.90 and 5,878.67

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Solution

The fourth proportional to 10,351.94, 14,288.90 and 5,878.67 is: 8,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.94 : 14,288.90 = 5,878.67 : x
  2. Step 2: Convert to fraction form
    10,351.94/14,288.90 = 5,878.67/x
  3. Step 3: Cross multiply
    10,351.94x = 14,288.90 × 5,878.67
  4. Step 4: Simplify right side
    10,351.94x = 83,999,626.93
  5. Step 5: Solve for x
    x = 83,999,626.93/10,351.94
  6. Step 6: Final answer
    x = 8,114.39

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Why These Related Problems?

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