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Finding the Fourth Proportional to 7,867.36, 11,804.32 and 3,253.60

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Solution

The fourth proportional to 7,867.36, 11,804.32 and 3,253.60 is: 4,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.36 : 11,804.32 = 3,253.60 : x
  2. Step 2: Convert to fraction form
    7,867.36/11,804.32 = 3,253.60/x
  3. Step 3: Cross multiply
    7,867.36x = 11,804.32 × 3,253.60
  4. Step 4: Simplify right side
    7,867.36x = 38,406,535.55
  5. Step 5: Solve for x
    x = 38,406,535.55/7,867.36
  6. Step 6: Final answer
    x = 4,881.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.