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Finding the Fourth Proportional to 10,349.52, 15,523.20 and 2,953.50

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Solution

The fourth proportional to 10,349.52, 15,523.20 and 2,953.50 is: 4,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.52 : 15,523.20 = 2,953.50 : x
  2. Step 2: Convert to fraction form
    10,349.52/15,523.20 = 2,953.50/x
  3. Step 3: Cross multiply
    10,349.52x = 15,523.20 × 2,953.50
  4. Step 4: Simplify right side
    10,349.52x = 45,847,771.20
  5. Step 5: Solve for x
    x = 45,847,771.20/10,349.52
  6. Step 6: Final answer
    x = 4,429.94

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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.