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Finding the Fourth Proportional to 6,700.38, 10,051.05 and 2,318.46

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Solution

The fourth proportional to 6,700.38, 10,051.05 and 2,318.46 is: 3,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.38 : 10,051.05 = 2,318.46 : x
  2. Step 2: Convert to fraction form
    6,700.38/10,051.05 = 2,318.46/x
  3. Step 3: Cross multiply
    6,700.38x = 10,051.05 × 2,318.46
  4. Step 4: Simplify right side
    6,700.38x = 23,302,957.38
  5. Step 5: Solve for x
    x = 23,302,957.38/6,700.38
  6. Step 6: Final answer
    x = 3,477.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.