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Finding the Fourth Proportional to 11,539.13, 17,308.71 and 4,618.49

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Solution

The fourth proportional to 11,539.13, 17,308.71 and 4,618.49 is: 6,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.13 : 17,308.71 = 4,618.49 : x
  2. Step 2: Convert to fraction form
    11,539.13/17,308.71 = 4,618.49/x
  3. Step 3: Cross multiply
    11,539.13x = 17,308.71 × 4,618.49
  4. Step 4: Simplify right side
    11,539.13x = 79,940,017.50
  5. Step 5: Solve for x
    x = 79,940,017.50/11,539.13
  6. Step 6: Final answer
    x = 6,927.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.