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Finding the Fourth Proportional to 28,582.43, 42,882.14 and 8,862.98

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Solution

The fourth proportional to 28,582.43, 42,882.14 and 8,862.98 is: 13,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582.43 : 42,882.14 = 8,862.98 : x
  2. Step 2: Convert to fraction form
    28,582.43/42,882.14 = 8,862.98/x
  3. Step 3: Cross multiply
    28,582.43x = 42,882.14 × 8,862.98
  4. Step 4: Simplify right side
    28,582.43x = 380,063,356.92
  5. Step 5: Solve for x
    x = 380,063,356.92/28,582.43
  6. Step 6: Final answer
    x = 13,297.10

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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.