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Finding the Fourth Proportional to 7,646.05, 10,546.85 and 5,058.97

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Solution

The fourth proportional to 7,646.05, 10,546.85 and 5,058.97 is: 6,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.05 : 10,546.85 = 5,058.97 : x
  2. Step 2: Convert to fraction form
    7,646.05/10,546.85 = 5,058.97/x
  3. Step 3: Cross multiply
    7,646.05x = 10,546.85 × 5,058.97
  4. Step 4: Simplify right side
    7,646.05x = 53,356,165.05
  5. Step 5: Solve for x
    x = 53,356,165.05/7,646.05
  6. Step 6: Final answer
    x = 6,978.27

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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.