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Finding the Fourth Proportional to 11,521.65, 15,899.70 and 6,485.86

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Solution

The fourth proportional to 11,521.65, 15,899.70 and 6,485.86 is: 8,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.65 : 15,899.70 = 6,485.86 : x
  2. Step 2: Convert to fraction form
    11,521.65/15,899.70 = 6,485.86/x
  3. Step 3: Cross multiply
    11,521.65x = 15,899.70 × 6,485.86
  4. Step 4: Simplify right side
    11,521.65x = 103,123,228.24
  5. Step 5: Solve for x
    x = 103,123,228.24/11,521.65
  6. Step 6: Final answer
    x = 8,950.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.