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Finding the Fourth Proportional to 7,347.96, 10,137.69 and 4,160.82

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Solution

The fourth proportional to 7,347.96, 10,137.69 and 4,160.82 is: 5,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.96 : 10,137.69 = 4,160.82 : x
  2. Step 2: Convert to fraction form
    7,347.96/10,137.69 = 4,160.82/x
  3. Step 3: Cross multiply
    7,347.96x = 10,137.69 × 4,160.82
  4. Step 4: Simplify right side
    7,347.96x = 42,181,103.31
  5. Step 5: Solve for x
    x = 42,181,103.31/7,347.96
  6. Step 6: Final answer
    x = 5,740.52

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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.