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Finding the Fourth Proportional to 11,435.99, 15,780.80 and 6,399.28

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Solution

The fourth proportional to 11,435.99, 15,780.80 and 6,399.28 is: 8,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.99 : 15,780.80 = 6,399.28 : x
  2. Step 2: Convert to fraction form
    11,435.99/15,780.80 = 6,399.28/x
  3. Step 3: Cross multiply
    11,435.99x = 15,780.80 × 6,399.28
  4. Step 4: Simplify right side
    11,435.99x = 100,985,686.38
  5. Step 5: Solve for x
    x = 100,985,686.38/11,435.99
  6. Step 6: Final answer
    x = 8,830.51

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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.