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Finding the Fourth Proportional to 11,782.60, 16,260.22 and 6,477.72

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Solution

The fourth proportional to 11,782.60, 16,260.22 and 6,477.72 is: 8,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.60 : 16,260.22 = 6,477.72 : x
  2. Step 2: Convert to fraction form
    11,782.60/16,260.22 = 6,477.72/x
  3. Step 3: Cross multiply
    11,782.60x = 16,260.22 × 6,477.72
  4. Step 4: Simplify right side
    11,782.60x = 105,329,152.30
  5. Step 5: Solve for x
    x = 105,329,152.30/11,782.60
  6. Step 6: Final answer
    x = 8,939.38

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Why These Related Problems?

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