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Finding the Fourth Proportional to 10,940.07, 15,091 and 6,905.46

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Solution

The fourth proportional to 10,940.07, 15,091 and 6,905.46 is: 9,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.07 : 15,091 = 6,905.46 : x
  2. Step 2: Convert to fraction form
    10,940.07/15,091 = 6,905.46/x
  3. Step 3: Cross multiply
    10,940.07x = 15,091 × 6,905.46
  4. Step 4: Simplify right side
    10,940.07x = 104,210,296.86
  5. Step 5: Solve for x
    x = 104,210,296.86/10,940.07
  6. Step 6: Final answer
    x = 9,525.56

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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.