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Finding the Fourth Proportional to 7,766.96, 10,716.64 and 4,580.48

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Solution

The fourth proportional to 7,766.96, 10,716.64 and 4,580.48 is: 6,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.96 : 10,716.64 = 4,580.48 : x
  2. Step 2: Convert to fraction form
    7,766.96/10,716.64 = 4,580.48/x
  3. Step 3: Cross multiply
    7,766.96x = 10,716.64 × 4,580.48
  4. Step 4: Simplify right side
    7,766.96x = 49,087,370.53
  5. Step 5: Solve for x
    x = 49,087,370.53/7,766.96
  6. Step 6: Final answer
    x = 6,320.03

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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.