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Finding the Fourth Proportional to 7,904.96, 10,900.68 and 6,789.60

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Solution

The fourth proportional to 7,904.96, 10,900.68 and 6,789.60 is: 9,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.96 : 10,900.68 = 6,789.60 : x
  2. Step 2: Convert to fraction form
    7,904.96/10,900.68 = 6,789.60/x
  3. Step 3: Cross multiply
    7,904.96x = 10,900.68 × 6,789.60
  4. Step 4: Simplify right side
    7,904.96x = 74,011,256.93
  5. Step 5: Solve for x
    x = 74,011,256.93/7,904.96
  6. Step 6: Final answer
    x = 9,362.64

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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.