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Finding the Fourth Proportional to 7,700.58, 11,551.41 and 2,506.59

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Solution

The fourth proportional to 7,700.58, 11,551.41 and 2,506.59 is: 3,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.58 : 11,551.41 = 2,506.59 : x
  2. Step 2: Convert to fraction form
    7,700.58/11,551.41 = 2,506.59/x
  3. Step 3: Cross multiply
    7,700.58x = 11,551.41 × 2,506.59
  4. Step 4: Simplify right side
    7,700.58x = 28,954,648.79
  5. Step 5: Solve for x
    x = 28,954,648.79/7,700.58
  6. Step 6: Final answer
    x = 3,760.06

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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.