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Finding the Fourth Proportional to 11,597.95, 16,006.89 and 6,817.69

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Solution

The fourth proportional to 11,597.95, 16,006.89 and 6,817.69 is: 9,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.95 : 16,006.89 = 6,817.69 : x
  2. Step 2: Convert to fraction form
    11,597.95/16,006.89 = 6,817.69/x
  3. Step 3: Cross multiply
    11,597.95x = 16,006.89 × 6,817.69
  4. Step 4: Simplify right side
    11,597.95x = 109,130,013.88
  5. Step 5: Solve for x
    x = 109,130,013.88/11,597.95
  6. Step 6: Final answer
    x = 9,409.42

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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.