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Finding the Fourth Proportional to 7,904.06, 10,906.10 and 4,760.46

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Solution

The fourth proportional to 7,904.06, 10,906.10 and 4,760.46 is: 6,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.06 : 10,906.10 = 4,760.46 : x
  2. Step 2: Convert to fraction form
    7,904.06/10,906.10 = 4,760.46/x
  3. Step 3: Cross multiply
    7,904.06x = 10,906.10 × 4,760.46
  4. Step 4: Simplify right side
    7,904.06x = 51,918,052.81
  5. Step 5: Solve for x
    x = 51,918,052.81/7,904.06
  6. Step 6: Final answer
    x = 6,568.53

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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.