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Finding the Fourth Proportional to 7,347.82, 10,140.50 and 4,161.14

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Solution

The fourth proportional to 7,347.82, 10,140.50 and 4,161.14 is: 5,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.82 : 10,140.50 = 4,161.14 : x
  2. Step 2: Convert to fraction form
    7,347.82/10,140.50 = 4,161.14/x
  3. Step 3: Cross multiply
    7,347.82x = 10,140.50 × 4,161.14
  4. Step 4: Simplify right side
    7,347.82x = 42,196,040.17
  5. Step 5: Solve for x
    x = 42,196,040.17/7,347.82
  6. Step 6: Final answer
    x = 5,742.66

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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.