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Finding the Fourth Proportional to 7,378.16, 10,181.72 and 4,021.00

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Solution

The fourth proportional to 7,378.16, 10,181.72 and 4,021.00 is: 5,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.16 : 10,181.72 = 4,021.00 : x
  2. Step 2: Convert to fraction form
    7,378.16/10,181.72 = 4,021.00/x
  3. Step 3: Cross multiply
    7,378.16x = 10,181.72 × 4,021.00
  4. Step 4: Simplify right side
    7,378.16x = 40,940,680.72
  5. Step 5: Solve for x
    x = 40,940,680.72/7,378.16
  6. Step 6: Final answer
    x = 5,548.90

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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.