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Finding the Fourth Proportional to 11,597.45, 16,004.49 and 6,292.28

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Solution

The fourth proportional to 11,597.45, 16,004.49 and 6,292.28 is: 8,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.45 : 16,004.49 = 6,292.28 : x
  2. Step 2: Convert to fraction form
    11,597.45/16,004.49 = 6,292.28/x
  3. Step 3: Cross multiply
    11,597.45x = 16,004.49 × 6,292.28
  4. Step 4: Simplify right side
    11,597.45x = 100,704,748.75
  5. Step 5: Solve for x
    x = 100,704,748.75/11,597.45
  6. Step 6: Final answer
    x = 8,683.36

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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.