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Finding the Fourth Proportional to 7,676.24, 10,585.89 and 7,110.32

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Solution

The fourth proportional to 7,676.24, 10,585.89 and 7,110.32 is: 9,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.24 : 10,585.89 = 7,110.32 : x
  2. Step 2: Convert to fraction form
    7,676.24/10,585.89 = 7,110.32/x
  3. Step 3: Cross multiply
    7,676.24x = 10,585.89 × 7,110.32
  4. Step 4: Simplify right side
    7,676.24x = 75,269,012.46
  5. Step 5: Solve for x
    x = 75,269,012.46/7,676.24
  6. Step 6: Final answer
    x = 9,805.46

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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.