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Finding the Fourth Proportional to 8,394.24, 11,575.04 and 5,600

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Solution

The fourth proportional to 8,394.24, 11,575.04 and 5,600 is: 7,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.24 : 11,575.04 = 5,600 : x
  2. Step 2: Convert to fraction form
    8,394.24/11,575.04 = 5,600/x
  3. Step 3: Cross multiply
    8,394.24x = 11,575.04 × 5,600
  4. Step 4: Simplify right side
    8,394.24x = 64,820,224.00
  5. Step 5: Solve for x
    x = 64,820,224.00/8,394.24
  6. Step 6: Final answer
    x = 7,721.99

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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.