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Finding the Fourth Proportional to 7,513.83, 10,378.94 and 5,766.93

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Solution

The fourth proportional to 7,513.83, 10,378.94 and 5,766.93 is: 7,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.83 : 10,378.94 = 5,766.93 : x
  2. Step 2: Convert to fraction form
    7,513.83/10,378.94 = 5,766.93/x
  3. Step 3: Cross multiply
    7,513.83x = 10,378.94 × 5,766.93
  4. Step 4: Simplify right side
    7,513.83x = 59,854,591.62
  5. Step 5: Solve for x
    x = 59,854,591.62/7,513.83
  6. Step 6: Final answer
    x = 7,965.92

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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.