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Finding the Fourth Proportional to 7,847.61, 11,775.44 and 5,216.93

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Solution

The fourth proportional to 7,847.61, 11,775.44 and 5,216.93 is: 7,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.61 : 11,775.44 = 5,216.93 : x
  2. Step 2: Convert to fraction form
    7,847.61/11,775.44 = 5,216.93/x
  3. Step 3: Cross multiply
    7,847.61x = 11,775.44 × 5,216.93
  4. Step 4: Simplify right side
    7,847.61x = 61,431,646.20
  5. Step 5: Solve for x
    x = 61,431,646.20/7,847.61
  6. Step 6: Final answer
    x = 7,828.07

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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.