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Finding the Fourth Proportional to 8,243.84, 11,368.14 and 5,405.60

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Solution

The fourth proportional to 8,243.84, 11,368.14 and 5,405.60 is: 7,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.84 : 11,368.14 = 5,405.60 : x
  2. Step 2: Convert to fraction form
    8,243.84/11,368.14 = 5,405.60/x
  3. Step 3: Cross multiply
    8,243.84x = 11,368.14 × 5,405.60
  4. Step 4: Simplify right side
    8,243.84x = 61,451,617.58
  5. Step 5: Solve for x
    x = 61,451,617.58/8,243.84
  6. Step 6: Final answer
    x = 7,454.25

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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.