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Finding the Fourth Proportional to 7,777.61, 11,669.15 and 6,556.53

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Solution

The fourth proportional to 7,777.61, 11,669.15 and 6,556.53 is: 9,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.61 : 11,669.15 = 6,556.53 : x
  2. Step 2: Convert to fraction form
    7,777.61/11,669.15 = 6,556.53/x
  3. Step 3: Cross multiply
    7,777.61x = 11,669.15 × 6,556.53
  4. Step 4: Simplify right side
    7,777.61x = 76,509,132.05
  5. Step 5: Solve for x
    x = 76,509,132.05/7,777.61
  6. Step 6: Final answer
    x = 9,837.10

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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.