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Finding the Fourth Proportional to 11,593.60, 17,386.27 and 4,196.14

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Solution

The fourth proportional to 11,593.60, 17,386.27 and 4,196.14 is: 6,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.60 : 17,386.27 = 4,196.14 : x
  2. Step 2: Convert to fraction form
    11,593.60/17,386.27 = 4,196.14/x
  3. Step 3: Cross multiply
    11,593.60x = 17,386.27 × 4,196.14
  4. Step 4: Simplify right side
    11,593.60x = 72,955,223.00
  5. Step 5: Solve for x
    x = 72,955,223.00/11,593.60
  6. Step 6: Final answer
    x = 6,292.72

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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.