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Finding the Fourth Proportional to 11,521.57, 15,899.77 and 6,485.83

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Solution

The fourth proportional to 11,521.57, 15,899.77 and 6,485.83 is: 8,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.57 : 15,899.77 = 6,485.83 : x
  2. Step 2: Convert to fraction form
    11,521.57/15,899.77 = 6,485.83/x
  3. Step 3: Cross multiply
    11,521.57x = 15,899.77 × 6,485.83
  4. Step 4: Simplify right side
    11,521.57x = 103,123,207.60
  5. Step 5: Solve for x
    x = 103,123,207.60/11,521.57
  6. Step 6: Final answer
    x = 8,950.45

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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.