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Finding the Fourth Proportional to 11,860.40, 16,368.62 and 6,824.84

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Solution

The fourth proportional to 11,860.40, 16,368.62 and 6,824.84 is: 9,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.40 : 16,368.62 = 6,824.84 : x
  2. Step 2: Convert to fraction form
    11,860.40/16,368.62 = 6,824.84/x
  3. Step 3: Cross multiply
    11,860.40x = 16,368.62 × 6,824.84
  4. Step 4: Simplify right side
    11,860.40x = 111,713,212.52
  5. Step 5: Solve for x
    x = 111,713,212.52/11,860.40
  6. Step 6: Final answer
    x = 9,419.01

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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.