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Finding the Fourth Proportional to 11,782.98, 16,260.14 and 6,477.78

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Solution

The fourth proportional to 11,782.98, 16,260.14 and 6,477.78 is: 8,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.98 : 16,260.14 = 6,477.78 : x
  2. Step 2: Convert to fraction form
    11,782.98/16,260.14 = 6,477.78/x
  3. Step 3: Cross multiply
    11,782.98x = 16,260.14 × 6,477.78
  4. Step 4: Simplify right side
    11,782.98x = 105,329,609.69
  5. Step 5: Solve for x
    x = 105,329,609.69/11,782.98
  6. Step 6: Final answer
    x = 8,939.13

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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.