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Finding the Fourth Proportional to 11,589.77, 15,996.29 and 6,554.21

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Solution

The fourth proportional to 11,589.77, 15,996.29 and 6,554.21 is: 9,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.77 : 15,996.29 = 6,554.21 : x
  2. Step 2: Convert to fraction form
    11,589.77/15,996.29 = 6,554.21/x
  3. Step 3: Cross multiply
    11,589.77x = 15,996.29 × 6,554.21
  4. Step 4: Simplify right side
    11,589.77x = 104,842,931.13
  5. Step 5: Solve for x
    x = 104,842,931.13/11,589.77
  6. Step 6: Final answer
    x = 9,046.16

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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.