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Finding the Fourth Proportional to 7,712.82, 10,644.01 and 4,526.33

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Solution

The fourth proportional to 7,712.82, 10,644.01 and 4,526.33 is: 6,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.82 : 10,644.01 = 4,526.33 : x
  2. Step 2: Convert to fraction form
    7,712.82/10,644.01 = 4,526.33/x
  3. Step 3: Cross multiply
    7,712.82x = 10,644.01 × 4,526.33
  4. Step 4: Simplify right side
    7,712.82x = 48,178,297.12
  5. Step 5: Solve for x
    x = 48,178,297.12/7,712.82
  6. Step 6: Final answer
    x = 6,246.52

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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.