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Finding the Fourth Proportional to 11,597.76, 16,004.94 and 6,292.59

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Solution

The fourth proportional to 11,597.76, 16,004.94 and 6,292.59 is: 8,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.76 : 16,004.94 = 6,292.59 : x
  2. Step 2: Convert to fraction form
    11,597.76/16,004.94 = 6,292.59/x
  3. Step 3: Cross multiply
    11,597.76x = 16,004.94 × 6,292.59
  4. Step 4: Simplify right side
    11,597.76x = 100,712,525.39
  5. Step 5: Solve for x
    x = 100,712,525.39/11,597.76
  6. Step 6: Final answer
    x = 8,683.79

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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.