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Finding the Fourth Proportional to 7,473.40, 11,188.14 and 5,902.36

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Solution

The fourth proportional to 7,473.40, 11,188.14 and 5,902.36 is: 8,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.40 : 11,188.14 = 5,902.36 : x
  2. Step 2: Convert to fraction form
    7,473.40/11,188.14 = 5,902.36/x
  3. Step 3: Cross multiply
    7,473.40x = 11,188.14 × 5,902.36
  4. Step 4: Simplify right side
    7,473.40x = 66,036,430.01
  5. Step 5: Solve for x
    x = 66,036,430.01/7,473.40
  6. Step 6: Final answer
    x = 8,836.20

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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.