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Finding the Fourth Proportional to 7,470.36, 11,205.90 and 2,853

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Solution

The fourth proportional to 7,470.36, 11,205.90 and 2,853 is: 4,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.36 : 11,205.90 = 2,853 : x
  2. Step 2: Convert to fraction form
    7,470.36/11,205.90 = 2,853/x
  3. Step 3: Cross multiply
    7,470.36x = 11,205.90 × 2,853
  4. Step 4: Simplify right side
    7,470.36x = 31,970,432.70
  5. Step 5: Solve for x
    x = 31,970,432.70/7,470.36
  6. Step 6: Final answer
    x = 4,279.64

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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.