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Finding the Fourth Proportional to 7,338.70, 11,001.20 and 2,896.40

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Solution

The fourth proportional to 7,338.70, 11,001.20 and 2,896.40 is: 4,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.70 : 11,001.20 = 2,896.40 : x
  2. Step 2: Convert to fraction form
    7,338.70/11,001.20 = 2,896.40/x
  3. Step 3: Cross multiply
    7,338.70x = 11,001.20 × 2,896.40
  4. Step 4: Simplify right side
    7,338.70x = 31,863,875.68
  5. Step 5: Solve for x
    x = 31,863,875.68/7,338.70
  6. Step 6: Final answer
    x = 4,341.90

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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.