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Finding the Fourth Proportional to 7,765.51, 10,716.42 and 4,228.75

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Solution

The fourth proportional to 7,765.51, 10,716.42 and 4,228.75 is: 5,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.51 : 10,716.42 = 4,228.75 : x
  2. Step 2: Convert to fraction form
    7,765.51/10,716.42 = 4,228.75/x
  3. Step 3: Cross multiply
    7,765.51x = 10,716.42 × 4,228.75
  4. Step 4: Simplify right side
    7,765.51x = 45,317,061.08
  5. Step 5: Solve for x
    x = 45,317,061.08/7,765.51
  6. Step 6: Final answer
    x = 5,835.68

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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.