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Finding the Fourth Proportional to 8,851.69, 13,285.74 and 4,472.23

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Solution

The fourth proportional to 8,851.69, 13,285.74 and 4,472.23 is: 6,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,851.69 : 13,285.74 = 4,472.23 : x
  2. Step 2: Convert to fraction form
    8,851.69/13,285.74 = 4,472.23/x
  3. Step 3: Cross multiply
    8,851.69x = 13,285.74 × 4,472.23
  4. Step 4: Simplify right side
    8,851.69x = 59,416,885.00
  5. Step 5: Solve for x
    x = 59,416,885.00/8,851.69
  6. Step 6: Final answer
    x = 6,712.49

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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.