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Finding the Fourth Proportional to 7,460.71, 11,194.31 and 3,762.25

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Solution

The fourth proportional to 7,460.71, 11,194.31 and 3,762.25 is: 5,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.71 : 11,194.31 = 3,762.25 : x
  2. Step 2: Convert to fraction form
    7,460.71/11,194.31 = 3,762.25/x
  3. Step 3: Cross multiply
    7,460.71x = 11,194.31 × 3,762.25
  4. Step 4: Simplify right side
    7,460.71x = 42,115,792.80
  5. Step 5: Solve for x
    x = 42,115,792.80/7,460.71
  6. Step 6: Final answer
    x = 5,645.01

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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.