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Finding the Fourth Proportional to 12,076.10, 16,666.05 and 6,771.93

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Solution

The fourth proportional to 12,076.10, 16,666.05 and 6,771.93 is: 9,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.10 : 16,666.05 = 6,771.93 : x
  2. Step 2: Convert to fraction form
    12,076.10/16,666.05 = 6,771.93/x
  3. Step 3: Cross multiply
    12,076.10x = 16,666.05 × 6,771.93
  4. Step 4: Simplify right side
    12,076.10x = 112,861,323.98
  5. Step 5: Solve for x
    x = 112,861,323.98/12,076.10
  6. Step 6: Final answer
    x = 9,345.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.