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Finding the Fourth Proportional to 8,292.56, 11,443.21 and 4,566.56

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Solution

The fourth proportional to 8,292.56, 11,443.21 and 4,566.56 is: 6,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.56 : 11,443.21 = 4,566.56 : x
  2. Step 2: Convert to fraction form
    8,292.56/11,443.21 = 4,566.56/x
  3. Step 3: Cross multiply
    8,292.56x = 11,443.21 × 4,566.56
  4. Step 4: Simplify right side
    8,292.56x = 52,256,036.43
  5. Step 5: Solve for x
    x = 52,256,036.43/8,292.56
  6. Step 6: Final answer
    x = 6,301.56

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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.