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Finding the Fourth Proportional to 8,328.46, 11,493.42 and 4,551.77

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Solution

The fourth proportional to 8,328.46, 11,493.42 and 4,551.77 is: 6,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.46 : 11,493.42 = 4,551.77 : x
  2. Step 2: Convert to fraction form
    8,328.46/11,493.42 = 4,551.77/x
  3. Step 3: Cross multiply
    8,328.46x = 11,493.42 × 4,551.77
  4. Step 4: Simplify right side
    8,328.46x = 52,315,404.35
  5. Step 5: Solve for x
    x = 52,315,404.35/8,328.46
  6. Step 6: Final answer
    x = 6,281.52

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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.