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Finding the Fourth Proportional to 7,637.42, 10,540.02 and 4,652.78

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Solution

The fourth proportional to 7,637.42, 10,540.02 and 4,652.78 is: 6,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.42 : 10,540.02 = 4,652.78 : x
  2. Step 2: Convert to fraction form
    7,637.42/10,540.02 = 4,652.78/x
  3. Step 3: Cross multiply
    7,637.42x = 10,540.02 × 4,652.78
  4. Step 4: Simplify right side
    7,637.42x = 49,040,394.26
  5. Step 5: Solve for x
    x = 49,040,394.26/7,637.42
  6. Step 6: Final answer
    x = 6,421.07

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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.