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Finding the Fourth Proportional to 8,582.96, 12,878.86 and 6,502.28

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Solution

The fourth proportional to 8,582.96, 12,878.86 and 6,502.28 is: 9,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.96 : 12,878.86 = 6,502.28 : x
  2. Step 2: Convert to fraction form
    8,582.96/12,878.86 = 6,502.28/x
  3. Step 3: Cross multiply
    8,582.96x = 12,878.86 × 6,502.28
  4. Step 4: Simplify right side
    8,582.96x = 83,741,953.80
  5. Step 5: Solve for x
    x = 83,741,953.80/8,582.96
  6. Step 6: Final answer
    x = 9,756.77

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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.