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Finding the Fourth Proportional to 7,405.50, 11,113.71 and 3,509.91

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Solution

The fourth proportional to 7,405.50, 11,113.71 and 3,509.91 is: 5,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.50 : 11,113.71 = 3,509.91 : x
  2. Step 2: Convert to fraction form
    7,405.50/11,113.71 = 3,509.91/x
  3. Step 3: Cross multiply
    7,405.50x = 11,113.71 × 3,509.91
  4. Step 4: Simplify right side
    7,405.50x = 39,008,121.87
  5. Step 5: Solve for x
    x = 39,008,121.87/7,405.50
  6. Step 6: Final answer
    x = 5,267.45

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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.