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Finding the Fourth Proportional to 11,250.55, 15,526.20 and 6,214.56

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Solution

The fourth proportional to 11,250.55, 15,526.20 and 6,214.56 is: 8,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250.55 : 15,526.20 = 6,214.56 : x
  2. Step 2: Convert to fraction form
    11,250.55/15,526.20 = 6,214.56/x
  3. Step 3: Cross multiply
    11,250.55x = 15,526.20 × 6,214.56
  4. Step 4: Simplify right side
    11,250.55x = 96,488,501.47
  5. Step 5: Solve for x
    x = 96,488,501.47/11,250.55
  6. Step 6: Final answer
    x = 8,576.34

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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.