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Finding the Fourth Proportional to 10,695.16, 16,018.98 and 8,211.70

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Solution

The fourth proportional to 10,695.16, 16,018.98 and 8,211.70 is: 12,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.16 : 16,018.98 = 8,211.70 : x
  2. Step 2: Convert to fraction form
    10,695.16/16,018.98 = 8,211.70/x
  3. Step 3: Cross multiply
    10,695.16x = 16,018.98 × 8,211.70
  4. Step 4: Simplify right side
    10,695.16x = 131,543,058.07
  5. Step 5: Solve for x
    x = 131,543,058.07/10,695.16
  6. Step 6: Final answer
    x = 12,299.31

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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.