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Finding the Fourth Proportional to 8,583, 11,842.56 and 4,997.52

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Solution

The fourth proportional to 8,583, 11,842.56 and 4,997.52 is: 6,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583 : 11,842.56 = 4,997.52 : x
  2. Step 2: Convert to fraction form
    8,583/11,842.56 = 4,997.52/x
  3. Step 3: Cross multiply
    8,583x = 11,842.56 × 4,997.52
  4. Step 4: Simplify right side
    8,583x = 59,183,430.45
  5. Step 5: Solve for x
    x = 59,183,430.45/8,583
  6. Step 6: Final answer
    x = 6,895.42

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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.