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Finding the Fourth Proportional to 11,643.24, 17,476.92 and 5,804.16

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Solution

The fourth proportional to 11,643.24, 17,476.92 and 5,804.16 is: 8,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.24 : 17,476.92 = 5,804.16 : x
  2. Step 2: Convert to fraction form
    11,643.24/17,476.92 = 5,804.16/x
  3. Step 3: Cross multiply
    11,643.24x = 17,476.92 × 5,804.16
  4. Step 4: Simplify right side
    11,643.24x = 101,438,839.99
  5. Step 5: Solve for x
    x = 101,438,839.99/11,643.24
  6. Step 6: Final answer
    x = 8,712.25

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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.