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Finding the Fourth Proportional to 10,421.32, 15,621.18 and 7,816.36

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Solution

The fourth proportional to 10,421.32, 15,621.18 and 7,816.36 is: 11,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.32 : 15,621.18 = 7,816.36 : x
  2. Step 2: Convert to fraction form
    10,421.32/15,621.18 = 7,816.36/x
  3. Step 3: Cross multiply
    10,421.32x = 15,621.18 × 7,816.36
  4. Step 4: Simplify right side
    10,421.32x = 122,100,766.50
  5. Step 5: Solve for x
    x = 122,100,766.50/10,421.32
  6. Step 6: Final answer
    x = 11,716.44

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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.