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Finding the Fourth Proportional to 8,275.34, 11,421.34 and 6,044.60

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Solution

The fourth proportional to 8,275.34, 11,421.34 and 6,044.60 is: 8,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.34 : 11,421.34 = 6,044.60 : x
  2. Step 2: Convert to fraction form
    8,275.34/11,421.34 = 6,044.60/x
  3. Step 3: Cross multiply
    8,275.34x = 11,421.34 × 6,044.60
  4. Step 4: Simplify right side
    8,275.34x = 69,037,431.76
  5. Step 5: Solve for x
    x = 69,037,431.76/8,275.34
  6. Step 6: Final answer
    x = 8,342.55

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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.