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Finding the Fourth Proportional to 7,712.16, 10,642.74 and 4,175.44

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Solution

The fourth proportional to 7,712.16, 10,642.74 and 4,175.44 is: 5,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.16 : 10,642.74 = 4,175.44 : x
  2. Step 2: Convert to fraction form
    7,712.16/10,642.74 = 4,175.44/x
  3. Step 3: Cross multiply
    7,712.16x = 10,642.74 × 4,175.44
  4. Step 4: Simplify right side
    7,712.16x = 44,438,122.31
  5. Step 5: Solve for x
    x = 44,438,122.31/7,712.16
  6. Step 6: Final answer
    x = 5,762.09

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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.