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Finding the Fourth Proportional to 7,765.02, 10,715.64 and 4,228.22

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Solution

The fourth proportional to 7,765.02, 10,715.64 and 4,228.22 is: 5,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.02 : 10,715.64 = 4,228.22 : x
  2. Step 2: Convert to fraction form
    7,765.02/10,715.64 = 4,228.22/x
  3. Step 3: Cross multiply
    7,765.02x = 10,715.64 × 4,228.22
  4. Step 4: Simplify right side
    7,765.02x = 45,308,083.36
  5. Step 5: Solve for x
    x = 45,308,083.36/7,765.02
  6. Step 6: Final answer
    x = 5,834.90

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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.