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Finding the Fourth Proportional to 8,775.52, 12,104.56 and 5,236

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Solution

The fourth proportional to 8,775.52, 12,104.56 and 5,236 is: 7,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.52 : 12,104.56 = 5,236 : x
  2. Step 2: Convert to fraction form
    8,775.52/12,104.56 = 5,236/x
  3. Step 3: Cross multiply
    8,775.52x = 12,104.56 × 5,236
  4. Step 4: Simplify right side
    8,775.52x = 63,379,476.16
  5. Step 5: Solve for x
    x = 63,379,476.16/8,775.52
  6. Step 6: Final answer
    x = 7,222.30

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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.