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Finding the Fourth Proportional to 8,400.02, 11,591.74 and 4,623.16

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Solution

The fourth proportional to 8,400.02, 11,591.74 and 4,623.16 is: 6,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.02 : 11,591.74 = 4,623.16 : x
  2. Step 2: Convert to fraction form
    8,400.02/11,591.74 = 4,623.16/x
  3. Step 3: Cross multiply
    8,400.02x = 11,591.74 × 4,623.16
  4. Step 4: Simplify right side
    8,400.02x = 53,590,467.23
  5. Step 5: Solve for x
    x = 53,590,467.23/8,400.02
  6. Step 6: Final answer
    x = 6,379.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.