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Finding the Fourth Proportional to 10,574.87, 15,860.59 and 3,999.50

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Solution

The fourth proportional to 10,574.87, 15,860.59 and 3,999.50 is: 5,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.87 : 15,860.59 = 3,999.50 : x
  2. Step 2: Convert to fraction form
    10,574.87/15,860.59 = 3,999.50/x
  3. Step 3: Cross multiply
    10,574.87x = 15,860.59 × 3,999.50
  4. Step 4: Simplify right side
    10,574.87x = 63,434,340.40
  5. Step 5: Solve for x
    x = 63,434,340.40/10,574.87
  6. Step 6: Final answer
    x = 5,998.59

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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.