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Finding the Fourth Proportional to 7,887.52, 11,848.45 and 4,769.00

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Solution

The fourth proportional to 7,887.52, 11,848.45 and 4,769.00 is: 7,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.52 : 11,848.45 = 4,769.00 : x
  2. Step 2: Convert to fraction form
    7,887.52/11,848.45 = 4,769.00/x
  3. Step 3: Cross multiply
    7,887.52x = 11,848.45 × 4,769.00
  4. Step 4: Simplify right side
    7,887.52x = 56,505,198.81
  5. Step 5: Solve for x
    x = 56,505,198.81/7,887.52
  6. Step 6: Final answer
    x = 7,163.87

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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.