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Finding the Fourth Proportional to 11,596.14, 16,002.56 and 6,290.99

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Solution

The fourth proportional to 11,596.14, 16,002.56 and 6,290.99 is: 8,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.14 : 16,002.56 = 6,290.99 : x
  2. Step 2: Convert to fraction form
    11,596.14/16,002.56 = 6,290.99/x
  3. Step 3: Cross multiply
    11,596.14x = 16,002.56 × 6,290.99
  4. Step 4: Simplify right side
    11,596.14x = 100,671,833.47
  5. Step 5: Solve for x
    x = 100,671,833.47/11,596.14
  6. Step 6: Final answer
    x = 8,681.50

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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.