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Finding the Fourth Proportional to 7,682.04, 10,585.22 and 6,000.84

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Solution

The fourth proportional to 7,682.04, 10,585.22 and 6,000.84 is: 8,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.04 : 10,585.22 = 6,000.84 : x
  2. Step 2: Convert to fraction form
    7,682.04/10,585.22 = 6,000.84/x
  3. Step 3: Cross multiply
    7,682.04x = 10,585.22 × 6,000.84
  4. Step 4: Simplify right side
    7,682.04x = 63,520,211.58
  5. Step 5: Solve for x
    x = 63,520,211.58/7,682.04
  6. Step 6: Final answer
    x = 8,268.66

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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.