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Finding the Fourth Proportional to 10,594.99, 15,891.78 and 4,353.40

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Solution

The fourth proportional to 10,594.99, 15,891.78 and 4,353.40 is: 6,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.99 : 15,891.78 = 4,353.40 : x
  2. Step 2: Convert to fraction form
    10,594.99/15,891.78 = 4,353.40/x
  3. Step 3: Cross multiply
    10,594.99x = 15,891.78 × 4,353.40
  4. Step 4: Simplify right side
    10,594.99x = 69,183,275.05
  5. Step 5: Solve for x
    x = 69,183,275.05/10,594.99
  6. Step 6: Final answer
    x = 6,529.81

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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.