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Finding the Fourth Proportional to 7,059.04, 10,593.36 and 2,442

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Solution

The fourth proportional to 7,059.04, 10,593.36 and 2,442 is: 3,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.04 : 10,593.36 = 2,442 : x
  2. Step 2: Convert to fraction form
    7,059.04/10,593.36 = 2,442/x
  3. Step 3: Cross multiply
    7,059.04x = 10,593.36 × 2,442
  4. Step 4: Simplify right side
    7,059.04x = 25,868,985.12
  5. Step 5: Solve for x
    x = 25,868,985.12/7,059.04
  6. Step 6: Final answer
    x = 3,664.66

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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.