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Finding the Fourth Proportional to 8,400.35, 12,588.22 and 7,477.76

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Solution

The fourth proportional to 8,400.35, 12,588.22 and 7,477.76 is: 11,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.35 : 12,588.22 = 7,477.76 : x
  2. Step 2: Convert to fraction form
    8,400.35/12,588.22 = 7,477.76/x
  3. Step 3: Cross multiply
    8,400.35x = 12,588.22 × 7,477.76
  4. Step 4: Simplify right side
    8,400.35x = 94,131,650.60
  5. Step 5: Solve for x
    x = 94,131,650.60/8,400.35
  6. Step 6: Final answer
    x = 11,205.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.