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Finding the Fourth Proportional to 8,882.54, 12,261.93 and 5,653.68

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Solution

The fourth proportional to 8,882.54, 12,261.93 and 5,653.68 is: 7,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.54 : 12,261.93 = 5,653.68 : x
  2. Step 2: Convert to fraction form
    8,882.54/12,261.93 = 5,653.68/x
  3. Step 3: Cross multiply
    8,882.54x = 12,261.93 × 5,653.68
  4. Step 4: Simplify right side
    8,882.54x = 69,325,028.40
  5. Step 5: Solve for x
    x = 69,325,028.40/8,882.54
  6. Step 6: Final answer
    x = 7,804.64

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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.