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Finding the Fourth Proportional to 7,765.29, 10,643.85 and 7,655.94

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Solution

The fourth proportional to 7,765.29, 10,643.85 and 7,655.94 is: 10,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.29 : 10,643.85 = 7,655.94 : x
  2. Step 2: Convert to fraction form
    7,765.29/10,643.85 = 7,655.94/x
  3. Step 3: Cross multiply
    7,765.29x = 10,643.85 × 7,655.94
  4. Step 4: Simplify right side
    7,765.29x = 81,488,676.97
  5. Step 5: Solve for x
    x = 81,488,676.97/7,765.29
  6. Step 6: Final answer
    x = 10,493.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.