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Finding the Fourth Proportional to 7,570.30, 10,441.08 and 5,181.70

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Solution

The fourth proportional to 7,570.30, 10,441.08 and 5,181.70 is: 7,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.30 : 10,441.08 = 5,181.70 : x
  2. Step 2: Convert to fraction form
    7,570.30/10,441.08 = 5,181.70/x
  3. Step 3: Cross multiply
    7,570.30x = 10,441.08 × 5,181.70
  4. Step 4: Simplify right side
    7,570.30x = 54,102,544.24
  5. Step 5: Solve for x
    x = 54,102,544.24/7,570.30
  6. Step 6: Final answer
    x = 7,146.68

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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.