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Finding the Fourth Proportional to 7,701.69, 11,551.33 and 2,507.53

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Solution

The fourth proportional to 7,701.69, 11,551.33 and 2,507.53 is: 3,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.69 : 11,551.33 = 2,507.53 : x
  2. Step 2: Convert to fraction form
    7,701.69/11,551.33 = 2,507.53/x
  3. Step 3: Cross multiply
    7,701.69x = 11,551.33 × 2,507.53
  4. Step 4: Simplify right side
    7,701.69x = 28,965,306.51
  5. Step 5: Solve for x
    x = 28,965,306.51/7,701.69
  6. Step 6: Final answer
    x = 3,760.90

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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.