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Finding the Fourth Proportional to 11,344.77, 15,649.78 and 6,742.91

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Solution

The fourth proportional to 11,344.77, 15,649.78 and 6,742.91 is: 9,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.77 : 15,649.78 = 6,742.91 : x
  2. Step 2: Convert to fraction form
    11,344.77/15,649.78 = 6,742.91/x
  3. Step 3: Cross multiply
    11,344.77x = 15,649.78 × 6,742.91
  4. Step 4: Simplify right side
    11,344.77x = 105,525,058.06
  5. Step 5: Solve for x
    x = 105,525,058.06/11,344.77
  6. Step 6: Final answer
    x = 9,301.65

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