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Finding the Fourth Proportional to 8,292.96, 11,444.16 and 4,566.96

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Solution

The fourth proportional to 8,292.96, 11,444.16 and 4,566.96 is: 6,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.96 : 11,444.16 = 4,566.96 : x
  2. Step 2: Convert to fraction form
    8,292.96/11,444.16 = 4,566.96/x
  3. Step 3: Cross multiply
    8,292.96x = 11,444.16 × 4,566.96
  4. Step 4: Simplify right side
    8,292.96x = 52,265,020.95
  5. Step 5: Solve for x
    x = 52,265,020.95/8,292.96
  6. Step 6: Final answer
    x = 6,302.34

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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.