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Finding the Fourth Proportional to 7,406.92, 10,225.10 and 4,382.56

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Solution

The fourth proportional to 7,406.92, 10,225.10 and 4,382.56 is: 6,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.92 : 10,225.10 = 4,382.56 : x
  2. Step 2: Convert to fraction form
    7,406.92/10,225.10 = 4,382.56/x
  3. Step 3: Cross multiply
    7,406.92x = 10,225.10 × 4,382.56
  4. Step 4: Simplify right side
    7,406.92x = 44,812,114.26
  5. Step 5: Solve for x
    x = 44,812,114.26/7,406.92
  6. Step 6: Final answer
    x = 6,050.03

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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.