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Finding the Fourth Proportional to 10,102.10, 15,153.84 and 3,435.88

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Solution

The fourth proportional to 10,102.10, 15,153.84 and 3,435.88 is: 5,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.10 : 15,153.84 = 3,435.88 : x
  2. Step 2: Convert to fraction form
    10,102.10/15,153.84 = 3,435.88/x
  3. Step 3: Cross multiply
    10,102.10x = 15,153.84 × 3,435.88
  4. Step 4: Simplify right side
    10,102.10x = 52,066,775.78
  5. Step 5: Solve for x
    x = 52,066,775.78/10,102.10
  6. Step 6: Final answer
    x = 5,154.05

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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.