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Finding the Fourth Proportional to 10,213.94, 14,070.10 and 8,696.62

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Solution

The fourth proportional to 10,213.94, 14,070.10 and 8,696.62 is: 11,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.94 : 14,070.10 = 8,696.62 : x
  2. Step 2: Convert to fraction form
    10,213.94/14,070.10 = 8,696.62/x
  3. Step 3: Cross multiply
    10,213.94x = 14,070.10 × 8,696.62
  4. Step 4: Simplify right side
    10,213.94x = 122,362,313.06
  5. Step 5: Solve for x
    x = 122,362,313.06/10,213.94
  6. Step 6: Final answer
    x = 11,979.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.