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Finding the Fourth Proportional to 11,521.08, 15,894.12 and 7,535.24

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Solution

The fourth proportional to 11,521.08, 15,894.12 and 7,535.24 is: 10,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.08 : 15,894.12 = 7,535.24 : x
  2. Step 2: Convert to fraction form
    11,521.08/15,894.12 = 7,535.24/x
  3. Step 3: Cross multiply
    11,521.08x = 15,894.12 × 7,535.24
  4. Step 4: Simplify right side
    11,521.08x = 119,766,008.79
  5. Step 5: Solve for x
    x = 119,766,008.79/11,521.08
  6. Step 6: Final answer
    x = 10,395.38

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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.