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Finding the Fourth Proportional to 7,645.31, 10,546.04 and 4,808.18

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Solution

The fourth proportional to 7,645.31, 10,546.04 and 4,808.18 is: 6,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.31 : 10,546.04 = 4,808.18 : x
  2. Step 2: Convert to fraction form
    7,645.31/10,546.04 = 4,808.18/x
  3. Step 3: Cross multiply
    7,645.31x = 10,546.04 × 4,808.18
  4. Step 4: Simplify right side
    7,645.31x = 50,707,181.84
  5. Step 5: Solve for x
    x = 50,707,181.84/7,645.31
  6. Step 6: Final answer
    x = 6,632.46

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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.