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Finding the Fourth Proportional to 10,406.40, 15,529.49 and 8,316.60

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Solution

The fourth proportional to 10,406.40, 15,529.49 and 8,316.60 is: 12,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.40 : 15,529.49 = 8,316.60 : x
  2. Step 2: Convert to fraction form
    10,406.40/15,529.49 = 8,316.60/x
  3. Step 3: Cross multiply
    10,406.40x = 15,529.49 × 8,316.60
  4. Step 4: Simplify right side
    10,406.40x = 129,152,556.53
  5. Step 5: Solve for x
    x = 129,152,556.53/10,406.40
  6. Step 6: Final answer
    x = 12,410.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.