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Finding the Fourth Proportional to 11,693.66, 17,542.78 and 4,298.18

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Solution

The fourth proportional to 11,693.66, 17,542.78 and 4,298.18 is: 6,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.66 : 17,542.78 = 4,298.18 : x
  2. Step 2: Convert to fraction form
    11,693.66/17,542.78 = 4,298.18/x
  3. Step 3: Cross multiply
    11,693.66x = 17,542.78 × 4,298.18
  4. Step 4: Simplify right side
    11,693.66x = 75,402,026.14
  5. Step 5: Solve for x
    x = 75,402,026.14/11,693.66
  6. Step 6: Final answer
    x = 6,448.11

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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.