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Finding the Fourth Proportional to 7,857.36, 11,777.64 and 5,903.52

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Solution

The fourth proportional to 7,857.36, 11,777.64 and 5,903.52 is: 8,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.36 : 11,777.64 = 5,903.52 : x
  2. Step 2: Convert to fraction form
    7,857.36/11,777.64 = 5,903.52/x
  3. Step 3: Cross multiply
    7,857.36x = 11,777.64 × 5,903.52
  4. Step 4: Simplify right side
    7,857.36x = 69,529,533.29
  5. Step 5: Solve for x
    x = 69,529,533.29/7,857.36
  6. Step 6: Final answer
    x = 8,848.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.