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Finding the Fourth Proportional to 10,315.57, 14,235.78 and 5,600.16

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Solution

The fourth proportional to 10,315.57, 14,235.78 and 5,600.16 is: 7,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.57 : 14,235.78 = 5,600.16 : x
  2. Step 2: Convert to fraction form
    10,315.57/14,235.78 = 5,600.16/x
  3. Step 3: Cross multiply
    10,315.57x = 14,235.78 × 5,600.16
  4. Step 4: Simplify right side
    10,315.57x = 79,722,645.72
  5. Step 5: Solve for x
    x = 79,722,645.72/10,315.57
  6. Step 6: Final answer
    x = 7,728.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.