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Finding the Fourth Proportional to 7,253.10, 10,008.18 and 4,419

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Solution

The fourth proportional to 7,253.10, 10,008.18 and 4,419 is: 6,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.10 : 10,008.18 = 4,419 : x
  2. Step 2: Convert to fraction form
    7,253.10/10,008.18 = 4,419/x
  3. Step 3: Cross multiply
    7,253.10x = 10,008.18 × 4,419
  4. Step 4: Simplify right side
    7,253.10x = 44,226,147.42
  5. Step 5: Solve for x
    x = 44,226,147.42/7,253.10
  6. Step 6: Final answer
    x = 6,097.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.