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Finding the Fourth Proportional to 10,364.87, 15,549.99 and 2,969.87

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Solution

The fourth proportional to 10,364.87, 15,549.99 and 2,969.87 is: 4,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.87 : 15,549.99 = 2,969.87 : x
  2. Step 2: Convert to fraction form
    10,364.87/15,549.99 = 2,969.87/x
  3. Step 3: Cross multiply
    10,364.87x = 15,549.99 × 2,969.87
  4. Step 4: Simplify right side
    10,364.87x = 46,181,487.68
  5. Step 5: Solve for x
    x = 46,181,487.68/10,364.87
  6. Step 6: Final answer
    x = 4,455.58

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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.