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Finding the Fourth Proportional to 7,768.88, 11,653.59 and 2,574.62

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Solution

The fourth proportional to 7,768.88, 11,653.59 and 2,574.62 is: 3,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.88 : 11,653.59 = 2,574.62 : x
  2. Step 2: Convert to fraction form
    7,768.88/11,653.59 = 2,574.62/x
  3. Step 3: Cross multiply
    7,768.88x = 11,653.59 × 2,574.62
  4. Step 4: Simplify right side
    7,768.88x = 30,003,507.62
  5. Step 5: Solve for x
    x = 30,003,507.62/7,768.88
  6. Step 6: Final answer
    x = 3,862.01

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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.