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Finding the Fourth Proportional to 10,696.59, 14,740.48 and 7,706.78

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Solution

The fourth proportional to 10,696.59, 14,740.48 and 7,706.78 is: 10,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.59 : 14,740.48 = 7,706.78 : x
  2. Step 2: Convert to fraction form
    10,696.59/14,740.48 = 7,706.78/x
  3. Step 3: Cross multiply
    10,696.59x = 14,740.48 × 7,706.78
  4. Step 4: Simplify right side
    10,696.59x = 113,601,627.66
  5. Step 5: Solve for x
    x = 113,601,627.66/10,696.59
  6. Step 6: Final answer
    x = 10,620.36

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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.