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Finding the Fourth Proportional to 7,753.41, 11,630.66 and 2,562.93

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Solution

The fourth proportional to 7,753.41, 11,630.66 and 2,562.93 is: 3,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.41 : 11,630.66 = 2,562.93 : x
  2. Step 2: Convert to fraction form
    7,753.41/11,630.66 = 2,562.93/x
  3. Step 3: Cross multiply
    7,753.41x = 11,630.66 × 2,562.93
  4. Step 4: Simplify right side
    7,753.41x = 29,808,554.62
  5. Step 5: Solve for x
    x = 29,808,554.62/7,753.41
  6. Step 6: Final answer
    x = 3,844.57

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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.