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Finding the Fourth Proportional to 11,465.14, 15,824.71 and 6,991.36

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Solution

The fourth proportional to 11,465.14, 15,824.71 and 6,991.36 is: 9,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.14 : 15,824.71 = 6,991.36 : x
  2. Step 2: Convert to fraction form
    11,465.14/15,824.71 = 6,991.36/x
  3. Step 3: Cross multiply
    11,465.14x = 15,824.71 × 6,991.36
  4. Step 4: Simplify right side
    11,465.14x = 110,636,244.51
  5. Step 5: Solve for x
    x = 110,636,244.51/11,465.14
  6. Step 6: Final answer
    x = 9,649.79

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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.