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Finding the Fourth Proportional to 6,446.96, 8,830.13 and 6,068.68

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Solution

The fourth proportional to 6,446.96, 8,830.13 and 6,068.68 is: 8,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.96 : 8,830.13 = 6,068.68 : x
  2. Step 2: Convert to fraction form
    6,446.96/8,830.13 = 6,068.68/x
  3. Step 3: Cross multiply
    6,446.96x = 8,830.13 × 6,068.68
  4. Step 4: Simplify right side
    6,446.96x = 53,587,233.33
  5. Step 5: Solve for x
    x = 53,587,233.33/6,446.96
  6. Step 6: Final answer
    x = 8,312.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.