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Finding the Fourth Proportional to 10,866.48, 16,288.92 and 6,477.36

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Solution

The fourth proportional to 10,866.48, 16,288.92 and 6,477.36 is: 9,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.48 : 16,288.92 = 6,477.36 : x
  2. Step 2: Convert to fraction form
    10,866.48/16,288.92 = 6,477.36/x
  3. Step 3: Cross multiply
    10,866.48x = 16,288.92 × 6,477.36
  4. Step 4: Simplify right side
    10,866.48x = 105,509,198.85
  5. Step 5: Solve for x
    x = 105,509,198.85/10,866.48
  6. Step 6: Final answer
    x = 9,709.60

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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.