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Finding the Fourth Proportional to 10,520.42, 14,518.18 and 5,740.37

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Solution

The fourth proportional to 10,520.42, 14,518.18 and 5,740.37 is: 7,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.42 : 14,518.18 = 5,740.37 : x
  2. Step 2: Convert to fraction form
    10,520.42/14,518.18 = 5,740.37/x
  3. Step 3: Cross multiply
    10,520.42x = 14,518.18 × 5,740.37
  4. Step 4: Simplify right side
    10,520.42x = 83,339,713.95
  5. Step 5: Solve for x
    x = 83,339,713.95/10,520.42
  6. Step 6: Final answer
    x = 7,921.71

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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.