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Finding the Fourth Proportional to 10,686.05, 14,725.91 and 7,696.24

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Solution

The fourth proportional to 10,686.05, 14,725.91 and 7,696.24 is: 10,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.05 : 14,725.91 = 7,696.24 : x
  2. Step 2: Convert to fraction form
    10,686.05/14,725.91 = 7,696.24/x
  3. Step 3: Cross multiply
    10,686.05x = 14,725.91 × 7,696.24
  4. Step 4: Simplify right side
    10,686.05x = 113,334,120.00
  5. Step 5: Solve for x
    x = 113,334,120.00/10,686.05
  6. Step 6: Final answer
    x = 10,605.80

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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.