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Finding the Fourth Proportional to 11,693.40, 17,534.70 and 5,116.20

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Solution

The fourth proportional to 11,693.40, 17,534.70 and 5,116.20 is: 7,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.40 : 17,534.70 = 5,116.20 : x
  2. Step 2: Convert to fraction form
    11,693.40/17,534.70 = 5,116.20/x
  3. Step 3: Cross multiply
    11,693.40x = 17,534.70 × 5,116.20
  4. Step 4: Simplify right side
    11,693.40x = 89,711,032.14
  5. Step 5: Solve for x
    x = 89,711,032.14/11,693.40
  6. Step 6: Final answer
    x = 7,671.94

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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.