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Finding the Fourth Proportional to 7,470.34, 11,202.92 and 3,313.26

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Solution

The fourth proportional to 7,470.34, 11,202.92 and 3,313.26 is: 4,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.34 : 11,202.92 = 3,313.26 : x
  2. Step 2: Convert to fraction form
    7,470.34/11,202.92 = 3,313.26/x
  3. Step 3: Cross multiply
    7,470.34x = 11,202.92 × 3,313.26
  4. Step 4: Simplify right side
    7,470.34x = 37,118,182.58
  5. Step 5: Solve for x
    x = 37,118,182.58/7,470.34
  6. Step 6: Final answer
    x = 4,968.74

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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.