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Finding the Fourth Proportional to 10,225.85, 15,340.19 and 3,653.10

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Solution

The fourth proportional to 10,225.85, 15,340.19 and 3,653.10 is: 5,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.85 : 15,340.19 = 3,653.10 : x
  2. Step 2: Convert to fraction form
    10,225.85/15,340.19 = 3,653.10/x
  3. Step 3: Cross multiply
    10,225.85x = 15,340.19 × 3,653.10
  4. Step 4: Simplify right side
    10,225.85x = 56,039,229.82
  5. Step 5: Solve for x
    x = 56,039,229.82/10,225.85
  6. Step 6: Final answer
    x = 5,480.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.