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Finding the Fourth Proportional to 10,287.64, 15,435.24 and 4,365.82

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Solution

The fourth proportional to 10,287.64, 15,435.24 and 4,365.82 is: 6,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.64 : 15,435.24 = 4,365.82 : x
  2. Step 2: Convert to fraction form
    10,287.64/15,435.24 = 4,365.82/x
  3. Step 3: Cross multiply
    10,287.64x = 15,435.24 × 4,365.82
  4. Step 4: Simplify right side
    10,287.64x = 67,387,479.50
  5. Step 5: Solve for x
    x = 67,387,479.50/10,287.64
  6. Step 6: Final answer
    x = 6,550.33

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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.