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Finding the Fourth Proportional to 10,777.42, 16,177.02 and 7,660.95

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Solution

The fourth proportional to 10,777.42, 16,177.02 and 7,660.95 is: 11,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.42 : 16,177.02 = 7,660.95 : x
  2. Step 2: Convert to fraction form
    10,777.42/16,177.02 = 7,660.95/x
  3. Step 3: Cross multiply
    10,777.42x = 16,177.02 × 7,660.95
  4. Step 4: Simplify right side
    10,777.42x = 123,931,341.37
  5. Step 5: Solve for x
    x = 123,931,341.37/10,777.42
  6. Step 6: Final answer
    x = 11,499.17

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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.