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Finding the Fourth Proportional to 28,338, 42,508.50 and 8,615.06

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Solution

The fourth proportional to 28,338, 42,508.50 and 8,615.06 is: 12,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,338 : 42,508.50 = 8,615.06 : x
  2. Step 2: Convert to fraction form
    28,338/42,508.50 = 8,615.06/x
  3. Step 3: Cross multiply
    28,338x = 42,508.50 × 8,615.06
  4. Step 4: Simplify right side
    28,338x = 366,213,278.01
  5. Step 5: Solve for x
    x = 366,213,278.01/28,338
  6. Step 6: Final answer
    x = 12,923.05

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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.