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Finding the Fourth Proportional to 11,597.46, 16,004.52 and 6,292.32

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Solution

The fourth proportional to 11,597.46, 16,004.52 and 6,292.32 is: 8,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.46 : 16,004.52 = 6,292.32 : x
  2. Step 2: Convert to fraction form
    11,597.46/16,004.52 = 6,292.32/x
  3. Step 3: Cross multiply
    11,597.46x = 16,004.52 × 6,292.32
  4. Step 4: Simplify right side
    11,597.46x = 100,705,561.29
  5. Step 5: Solve for x
    x = 100,705,561.29/11,597.46
  6. Step 6: Final answer
    x = 8,683.42

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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.