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Finding the Fourth Proportional to 11,595.87, 16,002.36 and 6,290.64

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Solution

The fourth proportional to 11,595.87, 16,002.36 and 6,290.64 is: 8,681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.87 : 16,002.36 = 6,290.64 : x
  2. Step 2: Convert to fraction form
    11,595.87/16,002.36 = 6,290.64/x
  3. Step 3: Cross multiply
    11,595.87x = 16,002.36 × 6,290.64
  4. Step 4: Simplify right side
    11,595.87x = 100,665,085.91
  5. Step 5: Solve for x
    x = 100,665,085.91/11,595.87
  6. Step 6: Final answer
    x = 8,681.12

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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.