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Finding the Fourth Proportional to 8,235.15, 11,362.32 and 4,698.29

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Solution

The fourth proportional to 8,235.15, 11,362.32 and 4,698.29 is: 6,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.15 : 11,362.32 = 4,698.29 : x
  2. Step 2: Convert to fraction form
    8,235.15/11,362.32 = 4,698.29/x
  3. Step 3: Cross multiply
    8,235.15x = 11,362.32 × 4,698.29
  4. Step 4: Simplify right side
    8,235.15x = 53,383,417.62
  5. Step 5: Solve for x
    x = 53,383,417.62/8,235.15
  6. Step 6: Final answer
    x = 6,482.39

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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.