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Finding the Fourth Proportional to 11,782.39, 16,259.28 and 6,477.17

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Solution

The fourth proportional to 11,782.39, 16,259.28 and 6,477.17 is: 8,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.39 : 16,259.28 = 6,477.17 : x
  2. Step 2: Convert to fraction form
    11,782.39/16,259.28 = 6,477.17/x
  3. Step 3: Cross multiply
    11,782.39x = 16,259.28 × 6,477.17
  4. Step 4: Simplify right side
    11,782.39x = 105,314,051.49
  5. Step 5: Solve for x
    x = 105,314,051.49/11,782.39
  6. Step 6: Final answer
    x = 8,938.26

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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.