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Finding the Fourth Proportional to 11,693.40, 16,120.11 and 7,214.13

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Solution

The fourth proportional to 11,693.40, 16,120.11 and 7,214.13 is: 9,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.40 : 16,120.11 = 7,214.13 : x
  2. Step 2: Convert to fraction form
    11,693.40/16,120.11 = 7,214.13/x
  3. Step 3: Cross multiply
    11,693.40x = 16,120.11 × 7,214.13
  4. Step 4: Simplify right side
    11,693.40x = 116,292,569.15
  5. Step 5: Solve for x
    x = 116,292,569.15/11,693.40
  6. Step 6: Final answer
    x = 9,945.15

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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.