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Finding the Fourth Proportional to 7,220.14, 10,813.47 and 5,267.50

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Solution

The fourth proportional to 7,220.14, 10,813.47 and 5,267.50 is: 7,889.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.14 : 10,813.47 = 5,267.50 : x
  2. Step 2: Convert to fraction form
    7,220.14/10,813.47 = 5,267.50/x
  3. Step 3: Cross multiply
    7,220.14x = 10,813.47 × 5,267.50
  4. Step 4: Simplify right side
    7,220.14x = 56,959,953.23
  5. Step 5: Solve for x
    x = 56,959,953.23/7,220.14
  6. Step 6: Final answer
    x = 7,889.04

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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.