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Finding the Fourth Proportional to 11,598.08, 16,004.89 and 6,292.70

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Solution

The fourth proportional to 11,598.08, 16,004.89 and 6,292.70 is: 8,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.08 : 16,004.89 = 6,292.70 : x
  2. Step 2: Convert to fraction form
    11,598.08/16,004.89 = 6,292.70/x
  3. Step 3: Cross multiply
    11,598.08x = 16,004.89 × 6,292.70
  4. Step 4: Simplify right side
    11,598.08x = 100,713,971.30
  5. Step 5: Solve for x
    x = 100,713,971.30/11,598.08
  6. Step 6: Final answer
    x = 8,683.68

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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.