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Finding the Fourth Proportional to 7,765.16, 10,715.96 and 4,228.36

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Solution

The fourth proportional to 7,765.16, 10,715.96 and 4,228.36 is: 5,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.16 : 10,715.96 = 4,228.36 : x
  2. Step 2: Convert to fraction form
    7,765.16/10,715.96 = 4,228.36/x
  3. Step 3: Cross multiply
    7,765.16x = 10,715.96 × 4,228.36
  4. Step 4: Simplify right side
    7,765.16x = 45,310,936.63
  5. Step 5: Solve for x
    x = 45,310,936.63/7,765.16
  6. Step 6: Final answer
    x = 5,835.16

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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.