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Finding the Fourth Proportional to 8,894.26, 12,275.77 and 5,864.06

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Solution

The fourth proportional to 8,894.26, 12,275.77 and 5,864.06 is: 8,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.26 : 12,275.77 = 5,864.06 : x
  2. Step 2: Convert to fraction form
    8,894.26/12,275.77 = 5,864.06/x
  3. Step 3: Cross multiply
    8,894.26x = 12,275.77 × 5,864.06
  4. Step 4: Simplify right side
    8,894.26x = 71,985,790.45
  5. Step 5: Solve for x
    x = 71,985,790.45/8,894.26
  6. Step 6: Final answer
    x = 8,093.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.