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Finding the Fourth Proportional to 8,582.04, 12,877.20 and 4,686.33

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Solution

The fourth proportional to 8,582.04, 12,877.20 and 4,686.33 is: 7,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.04 : 12,877.20 = 4,686.33 : x
  2. Step 2: Convert to fraction form
    8,582.04/12,877.20 = 4,686.33/x
  3. Step 3: Cross multiply
    8,582.04x = 12,877.20 × 4,686.33
  4. Step 4: Simplify right side
    8,582.04x = 60,346,808.68
  5. Step 5: Solve for x
    x = 60,346,808.68/8,582.04
  6. Step 6: Final answer
    x = 7,031.76

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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.