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Finding the Fourth Proportional to 8,285.56, 12,415.95 and 7,092.50

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Solution

The fourth proportional to 8,285.56, 12,415.95 and 7,092.50 is: 10,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.56 : 12,415.95 = 7,092.50 : x
  2. Step 2: Convert to fraction form
    8,285.56/12,415.95 = 7,092.50/x
  3. Step 3: Cross multiply
    8,285.56x = 12,415.95 × 7,092.50
  4. Step 4: Simplify right side
    8,285.56x = 88,060,063.30
  5. Step 5: Solve for x
    x = 88,060,063.30/8,285.56
  6. Step 6: Final answer
    x = 10,628.14

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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.