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Finding the Fourth Proportional to 28,582.56, 42,883.92 and 8,866.08

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Solution

The fourth proportional to 28,582.56, 42,883.92 and 8,866.08 is: 13,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582.56 : 42,883.92 = 8,866.08 : x
  2. Step 2: Convert to fraction form
    28,582.56/42,883.92 = 8,866.08/x
  3. Step 3: Cross multiply
    28,582.56x = 42,883.92 × 8,866.08
  4. Step 4: Simplify right side
    28,582.56x = 380,212,265.43
  5. Step 5: Solve for x
    x = 380,212,265.43/28,582.56
  6. Step 6: Final answer
    x = 13,302.25

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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.