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Finding the Fourth Proportional to 11,142.87, 16,703.31 and 5,303.58

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Solution

The fourth proportional to 11,142.87, 16,703.31 and 5,303.58 is: 7,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.87 : 16,703.31 = 5,303.58 : x
  2. Step 2: Convert to fraction form
    11,142.87/16,703.31 = 5,303.58/x
  3. Step 3: Cross multiply
    11,142.87x = 16,703.31 × 5,303.58
  4. Step 4: Simplify right side
    11,142.87x = 88,587,340.85
  5. Step 5: Solve for x
    x = 88,587,340.85/11,142.87
  6. Step 6: Final answer
    x = 7,950.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.