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Finding the Fourth Proportional to 10,361.10, 15,543.19 and 3,697.08

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Solution

The fourth proportional to 10,361.10, 15,543.19 and 3,697.08 is: 5,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.10 : 15,543.19 = 3,697.08 : x
  2. Step 2: Convert to fraction form
    10,361.10/15,543.19 = 3,697.08/x
  3. Step 3: Cross multiply
    10,361.10x = 15,543.19 × 3,697.08
  4. Step 4: Simplify right side
    10,361.10x = 57,464,384.72
  5. Step 5: Solve for x
    x = 57,464,384.72/10,361.10
  6. Step 6: Final answer
    x = 5,546.17

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Why These Related Problems?

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