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Finding the Fourth Proportional to 11,670.46, 16,107.84 and 7,420.69

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Solution

The fourth proportional to 11,670.46, 16,107.84 and 7,420.69 is: 10,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.46 : 16,107.84 = 7,420.69 : x
  2. Step 2: Convert to fraction form
    11,670.46/16,107.84 = 7,420.69/x
  3. Step 3: Cross multiply
    11,670.46x = 16,107.84 × 7,420.69
  4. Step 4: Simplify right side
    11,670.46x = 119,531,287.21
  5. Step 5: Solve for x
    x = 119,531,287.21/11,670.46
  6. Step 6: Final answer
    x = 10,242.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.