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Finding the Fourth Proportional to 10,356.75, 15,510.42 and 5,965.00

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Solution

The fourth proportional to 10,356.75, 15,510.42 and 5,965.00 is: 8,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.75 : 15,510.42 = 5,965.00 : x
  2. Step 2: Convert to fraction form
    10,356.75/15,510.42 = 5,965.00/x
  3. Step 3: Cross multiply
    10,356.75x = 15,510.42 × 5,965.00
  4. Step 4: Simplify right side
    10,356.75x = 92,519,616.52
  5. Step 5: Solve for x
    x = 92,519,616.52/10,356.75
  6. Step 6: Final answer
    x = 8,933.27

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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.