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Finding the Fourth Proportional to 10,257.70, 15,364.95 and 8,529.70

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Solution

The fourth proportional to 10,257.70, 15,364.95 and 8,529.70 is: 12,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.70 : 15,364.95 = 8,529.70 : x
  2. Step 2: Convert to fraction form
    10,257.70/15,364.95 = 8,529.70/x
  3. Step 3: Cross multiply
    10,257.70x = 15,364.95 × 8,529.70
  4. Step 4: Simplify right side
    10,257.70x = 131,058,414.02
  5. Step 5: Solve for x
    x = 131,058,414.02/10,257.70
  6. Step 6: Final answer
    x = 12,776.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.