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Finding the Fourth Proportional to 7,346.63, 11,010.22 and 3,442.84

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Solution

The fourth proportional to 7,346.63, 11,010.22 and 3,442.84 is: 5,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.63 : 11,010.22 = 3,442.84 : x
  2. Step 2: Convert to fraction form
    7,346.63/11,010.22 = 3,442.84/x
  3. Step 3: Cross multiply
    7,346.63x = 11,010.22 × 3,442.84
  4. Step 4: Simplify right side
    7,346.63x = 37,906,389.69
  5. Step 5: Solve for x
    x = 37,906,389.69/7,346.63
  6. Step 6: Final answer
    x = 5,159.70

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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.