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Finding the Fourth Proportional to 7,518.34, 10,375.72 and 4,161.30

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Solution

The fourth proportional to 7,518.34, 10,375.72 and 4,161.30 is: 5,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,518.34 : 10,375.72 = 4,161.30 : x
  2. Step 2: Convert to fraction form
    7,518.34/10,375.72 = 4,161.30/x
  3. Step 3: Cross multiply
    7,518.34x = 10,375.72 × 4,161.30
  4. Step 4: Simplify right side
    7,518.34x = 43,176,475.21
  5. Step 5: Solve for x
    x = 43,176,475.21/7,518.34
  6. Step 6: Final answer
    x = 5,742.82

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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.