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Finding the Fourth Proportional to 11,760.05, 16,228.93 and 6,454.93

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Solution

The fourth proportional to 11,760.05, 16,228.93 and 6,454.93 is: 8,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.05 : 16,228.93 = 6,454.93 : x
  2. Step 2: Convert to fraction form
    11,760.05/16,228.93 = 6,454.93/x
  3. Step 3: Cross multiply
    11,760.05x = 16,228.93 × 6,454.93
  4. Step 4: Simplify right side
    11,760.05x = 104,756,574.85
  5. Step 5: Solve for x
    x = 104,756,574.85/11,760.05
  6. Step 6: Final answer
    x = 8,907.83

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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.