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Finding the Fourth Proportional to 8,174.02, 11,279.98 and 4,589.06

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Solution

The fourth proportional to 8,174.02, 11,279.98 and 4,589.06 is: 6,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.02 : 11,279.98 = 4,589.06 : x
  2. Step 2: Convert to fraction form
    8,174.02/11,279.98 = 4,589.06/x
  3. Step 3: Cross multiply
    8,174.02x = 11,279.98 × 4,589.06
  4. Step 4: Simplify right side
    8,174.02x = 51,764,482.07
  5. Step 5: Solve for x
    x = 51,764,482.07/8,174.02
  6. Step 6: Final answer
    x = 6,332.81

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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.