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Finding the Fourth Proportional to 7,543.13, 11,315.30 and 2,349

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Solution

The fourth proportional to 7,543.13, 11,315.30 and 2,349 is: 3,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.13 : 11,315.30 = 2,349 : x
  2. Step 2: Convert to fraction form
    7,543.13/11,315.30 = 2,349/x
  3. Step 3: Cross multiply
    7,543.13x = 11,315.30 × 2,349
  4. Step 4: Simplify right side
    7,543.13x = 26,579,627.96
  5. Step 5: Solve for x
    x = 26,579,627.96/7,543.13
  6. Step 6: Final answer
    x = 3,523.69

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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.