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Finding the Fourth Proportional to 12,104.12, 16,705.54 and 7,391.16

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Solution

The fourth proportional to 12,104.12, 16,705.54 and 7,391.16 is: 10,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.12 : 16,705.54 = 7,391.16 : x
  2. Step 2: Convert to fraction form
    12,104.12/16,705.54 = 7,391.16/x
  3. Step 3: Cross multiply
    12,104.12x = 16,705.54 × 7,391.16
  4. Step 4: Simplify right side
    12,104.12x = 123,473,319.03
  5. Step 5: Solve for x
    x = 123,473,319.03/12,104.12
  6. Step 6: Final answer
    x = 10,200.93

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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.