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Finding the Fourth Proportional to 7,676.94, 10,587.99 and 5,158.26

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Solution

The fourth proportional to 7,676.94, 10,587.99 and 5,158.26 is: 7,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.94 : 10,587.99 = 5,158.26 : x
  2. Step 2: Convert to fraction form
    7,676.94/10,587.99 = 5,158.26/x
  3. Step 3: Cross multiply
    7,676.94x = 10,587.99 × 5,158.26
  4. Step 4: Simplify right side
    7,676.94x = 54,615,605.30
  5. Step 5: Solve for x
    x = 54,615,605.30/7,676.94
  6. Step 6: Final answer
    x = 7,114.24

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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.