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Finding the Fourth Proportional to 7,775.60, 11,650.40 and 5,462.96

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Solution

The fourth proportional to 7,775.60, 11,650.40 and 5,462.96 is: 8,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.60 : 11,650.40 = 5,462.96 : x
  2. Step 2: Convert to fraction form
    7,775.60/11,650.40 = 5,462.96/x
  3. Step 3: Cross multiply
    7,775.60x = 11,650.40 × 5,462.96
  4. Step 4: Simplify right side
    7,775.60x = 63,645,669.18
  5. Step 5: Solve for x
    x = 63,645,669.18/7,775.60
  6. Step 6: Final answer
    x = 8,185.31

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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.