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Finding the Fourth Proportional to 8,592.27, 12,904.80 and 5,311.77

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Solution

The fourth proportional to 8,592.27, 12,904.80 and 5,311.77 is: 7,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.27 : 12,904.80 = 5,311.77 : x
  2. Step 2: Convert to fraction form
    8,592.27/12,904.80 = 5,311.77/x
  3. Step 3: Cross multiply
    8,592.27x = 12,904.80 × 5,311.77
  4. Step 4: Simplify right side
    8,592.27x = 68,547,329.50
  5. Step 5: Solve for x
    x = 68,547,329.50/8,592.27
  6. Step 6: Final answer
    x = 7,977.79

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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.