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Finding the Fourth Proportional to 7,470.88, 11,214.42 and 6,735.40

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Solution

The fourth proportional to 7,470.88, 11,214.42 and 6,735.40 is: 10,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.88 : 11,214.42 = 6,735.40 : x
  2. Step 2: Convert to fraction form
    7,470.88/11,214.42 = 6,735.40/x
  3. Step 3: Cross multiply
    7,470.88x = 11,214.42 × 6,735.40
  4. Step 4: Simplify right side
    7,470.88x = 75,533,604.47
  5. Step 5: Solve for x
    x = 75,533,604.47/7,470.88
  6. Step 6: Final answer
    x = 10,110.40

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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.