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Finding the Fourth Proportional to 7,701.81, 10,628.51 and 4,165.02

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Solution

The fourth proportional to 7,701.81, 10,628.51 and 4,165.02 is: 5,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.81 : 10,628.51 = 4,165.02 : x
  2. Step 2: Convert to fraction form
    7,701.81/10,628.51 = 4,165.02/x
  3. Step 3: Cross multiply
    7,701.81x = 10,628.51 × 4,165.02
  4. Step 4: Simplify right side
    7,701.81x = 44,267,956.72
  5. Step 5: Solve for x
    x = 44,267,956.72/7,701.81
  6. Step 6: Final answer
    x = 5,747.73

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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.