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Finding the Fourth Proportional to 11,595.93, 16,002.27 and 6,290.67

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Solution

The fourth proportional to 11,595.93, 16,002.27 and 6,290.67 is: 8,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.93 : 16,002.27 = 6,290.67 : x
  2. Step 2: Convert to fraction form
    11,595.93/16,002.27 = 6,290.67/x
  3. Step 3: Cross multiply
    11,595.93x = 16,002.27 × 6,290.67
  4. Step 4: Simplify right side
    11,595.93x = 100,664,999.82
  5. Step 5: Solve for x
    x = 100,664,999.82/11,595.93
  6. Step 6: Final answer
    x = 8,681.06

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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.