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Finding the Fourth Proportional to 10,658.96, 15,989.20 and 3,262.86

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Solution

The fourth proportional to 10,658.96, 15,989.20 and 3,262.86 is: 4,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.96 : 15,989.20 = 3,262.86 : x
  2. Step 2: Convert to fraction form
    10,658.96/15,989.20 = 3,262.86/x
  3. Step 3: Cross multiply
    10,658.96x = 15,989.20 × 3,262.86
  4. Step 4: Simplify right side
    10,658.96x = 52,170,521.11
  5. Step 5: Solve for x
    x = 52,170,521.11/10,658.96
  6. Step 6: Final answer
    x = 4,894.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.