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Finding the Fourth Proportional to 7,637.63, 11,456.51 and 3,020.63

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Solution

The fourth proportional to 7,637.63, 11,456.51 and 3,020.63 is: 4,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.63 : 11,456.51 = 3,020.63 : x
  2. Step 2: Convert to fraction form
    7,637.63/11,456.51 = 3,020.63/x
  3. Step 3: Cross multiply
    7,637.63x = 11,456.51 × 3,020.63
  4. Step 4: Simplify right side
    7,637.63x = 34,605,805.42
  5. Step 5: Solve for x
    x = 34,605,805.42/7,637.63
  6. Step 6: Final answer
    x = 4,530.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.