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Finding the Fourth Proportional to 11,760.15, 16,228.95 and 6,455.06

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Solution

The fourth proportional to 11,760.15, 16,228.95 and 6,455.06 is: 8,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.15 : 16,228.95 = 6,455.06 : x
  2. Step 2: Convert to fraction form
    11,760.15/16,228.95 = 6,455.06/x
  3. Step 3: Cross multiply
    11,760.15x = 16,228.95 × 6,455.06
  4. Step 4: Simplify right side
    11,760.15x = 104,758,764.84
  5. Step 5: Solve for x
    x = 104,758,764.84/11,760.15
  6. Step 6: Final answer
    x = 8,907.94

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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.