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Finding the Fourth Proportional to 7,752.15, 10,713.72 and 5,863.10

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Solution

The fourth proportional to 7,752.15, 10,713.72 and 5,863.10 is: 8,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.15 : 10,713.72 = 5,863.10 : x
  2. Step 2: Convert to fraction form
    7,752.15/10,713.72 = 5,863.10/x
  3. Step 3: Cross multiply
    7,752.15x = 10,713.72 × 5,863.10
  4. Step 4: Simplify right side
    7,752.15x = 62,815,558.16
  5. Step 5: Solve for x
    x = 62,815,558.16/7,752.15
  6. Step 6: Final answer
    x = 8,102.99

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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.