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Finding the Fourth Proportional to 6,416.79, 8,857.13 and 4,174.71

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Solution

The fourth proportional to 6,416.79, 8,857.13 and 4,174.71 is: 5,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.79 : 8,857.13 = 4,174.71 : x
  2. Step 2: Convert to fraction form
    6,416.79/8,857.13 = 4,174.71/x
  3. Step 3: Cross multiply
    6,416.79x = 8,857.13 × 4,174.71
  4. Step 4: Simplify right side
    6,416.79x = 36,975,949.18
  5. Step 5: Solve for x
    x = 36,975,949.18/6,416.79
  6. Step 6: Final answer
    x = 5,762.37

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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.