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Finding the Fourth Proportional to 11,259.69, 15,538.38 and 6,783.63

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Solution

The fourth proportional to 11,259.69, 15,538.38 and 6,783.63 is: 9,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.69 : 15,538.38 = 6,783.63 : x
  2. Step 2: Convert to fraction form
    11,259.69/15,538.38 = 6,783.63/x
  3. Step 3: Cross multiply
    11,259.69x = 15,538.38 × 6,783.63
  4. Step 4: Simplify right side
    11,259.69x = 105,406,620.72
  5. Step 5: Solve for x
    x = 105,406,620.72/11,259.69
  6. Step 6: Final answer
    x = 9,361.41

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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.