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Finding the Fourth Proportional to 7,830.76, 11,745.04 and 4,327.24

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Solution

The fourth proportional to 7,830.76, 11,745.04 and 4,327.24 is: 6,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.76 : 11,745.04 = 4,327.24 : x
  2. Step 2: Convert to fraction form
    7,830.76/11,745.04 = 4,327.24/x
  3. Step 3: Cross multiply
    7,830.76x = 11,745.04 × 4,327.24
  4. Step 4: Simplify right side
    7,830.76x = 50,823,606.89
  5. Step 5: Solve for x
    x = 50,823,606.89/7,830.76
  6. Step 6: Final answer
    x = 6,490.25

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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.