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Finding the Fourth Proportional to 11,782.14, 16,259.41 and 6,477.30

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Solution

The fourth proportional to 11,782.14, 16,259.41 and 6,477.30 is: 8,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.14 : 16,259.41 = 6,477.30 : x
  2. Step 2: Convert to fraction form
    11,782.14/16,259.41 = 6,477.30/x
  3. Step 3: Cross multiply
    11,782.14x = 16,259.41 × 6,477.30
  4. Step 4: Simplify right side
    11,782.14x = 105,317,066.27
  5. Step 5: Solve for x
    x = 105,317,066.27/11,782.14
  6. Step 6: Final answer
    x = 8,938.70

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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.