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Finding the Fourth Proportional to 10,696.58, 14,768.55 and 6,665.03

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Solution

The fourth proportional to 10,696.58, 14,768.55 and 6,665.03 is: 9,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.58 : 14,768.55 = 6,665.03 : x
  2. Step 2: Convert to fraction form
    10,696.58/14,768.55 = 6,665.03/x
  3. Step 3: Cross multiply
    10,696.58x = 14,768.55 × 6,665.03
  4. Step 4: Simplify right side
    10,696.58x = 98,432,810.35
  5. Step 5: Solve for x
    x = 98,432,810.35/10,696.58
  6. Step 6: Final answer
    x = 9,202.27

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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.