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Finding the Fourth Proportional to 7,007.52, 9,664.91 and 4,489.86

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Solution

The fourth proportional to 7,007.52, 9,664.91 and 4,489.86 is: 6,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.52 : 9,664.91 = 4,489.86 : x
  2. Step 2: Convert to fraction form
    7,007.52/9,664.91 = 4,489.86/x
  3. Step 3: Cross multiply
    7,007.52x = 9,664.91 × 4,489.86
  4. Step 4: Simplify right side
    7,007.52x = 43,394,092.81
  5. Step 5: Solve for x
    x = 43,394,092.81/7,007.52
  6. Step 6: Final answer
    x = 6,192.50

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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.