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Finding the Fourth Proportional to 7,830.37, 11,747.22 and 2,564.99

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Solution

The fourth proportional to 7,830.37, 11,747.22 and 2,564.99 is: 3,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.37 : 11,747.22 = 2,564.99 : x
  2. Step 2: Convert to fraction form
    7,830.37/11,747.22 = 2,564.99/x
  3. Step 3: Cross multiply
    7,830.37x = 11,747.22 × 2,564.99
  4. Step 4: Simplify right side
    7,830.37x = 30,131,501.83
  5. Step 5: Solve for x
    x = 30,131,501.83/7,830.37
  6. Step 6: Final answer
    x = 3,848.03

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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.