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Finding the Fourth Proportional to 7,657.72, 10,563.16 and 4,823.96

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Solution

The fourth proportional to 7,657.72, 10,563.16 and 4,823.96 is: 6,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.72 : 10,563.16 = 4,823.96 : x
  2. Step 2: Convert to fraction form
    7,657.72/10,563.16 = 4,823.96/x
  3. Step 3: Cross multiply
    7,657.72x = 10,563.16 × 4,823.96
  4. Step 4: Simplify right side
    7,657.72x = 50,956,261.31
  5. Step 5: Solve for x
    x = 50,956,261.31/7,657.72
  6. Step 6: Final answer
    x = 6,654.23

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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.