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Finding the Fourth Proportional to 7,765.36, 10,715.86 and 4,228.59

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Solution

The fourth proportional to 7,765.36, 10,715.86 and 4,228.59 is: 5,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.36 : 10,715.86 = 4,228.59 : x
  2. Step 2: Convert to fraction form
    7,765.36/10,715.86 = 4,228.59/x
  3. Step 3: Cross multiply
    7,765.36x = 10,715.86 × 4,228.59
  4. Step 4: Simplify right side
    7,765.36x = 45,312,978.44
  5. Step 5: Solve for x
    x = 45,312,978.44/7,765.36
  6. Step 6: Final answer
    x = 5,835.27

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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.