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Finding the Fourth Proportional to 7,682.24, 10,597.92 and 4,848.32

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Solution

The fourth proportional to 7,682.24, 10,597.92 and 4,848.32 is: 6,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.24 : 10,597.92 = 4,848.32 : x
  2. Step 2: Convert to fraction form
    7,682.24/10,597.92 = 4,848.32/x
  3. Step 3: Cross multiply
    7,682.24x = 10,597.92 × 4,848.32
  4. Step 4: Simplify right side
    7,682.24x = 51,382,107.49
  5. Step 5: Solve for x
    x = 51,382,107.49/7,682.24
  6. Step 6: Final answer
    x = 6,688.43

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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.