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Finding the Fourth Proportional to 10,696.35, 14,761.06 and 5,980.64

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Solution

The fourth proportional to 10,696.35, 14,761.06 and 5,980.64 is: 8,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.35 : 14,761.06 = 5,980.64 : x
  2. Step 2: Convert to fraction form
    10,696.35/14,761.06 = 5,980.64/x
  3. Step 3: Cross multiply
    10,696.35x = 14,761.06 × 5,980.64
  4. Step 4: Simplify right side
    10,696.35x = 88,280,585.88
  5. Step 5: Solve for x
    x = 88,280,585.88/10,696.35
  6. Step 6: Final answer
    x = 8,253.34

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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.