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Finding the Fourth Proportional to 11,589.85, 15,994.79 and 6,554.11

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Solution

The fourth proportional to 11,589.85, 15,994.79 and 6,554.11 is: 9,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.85 : 15,994.79 = 6,554.11 : x
  2. Step 2: Convert to fraction form
    11,589.85/15,994.79 = 6,554.11/x
  3. Step 3: Cross multiply
    11,589.85x = 15,994.79 × 6,554.11
  4. Step 4: Simplify right side
    11,589.85x = 104,831,533.11
  5. Step 5: Solve for x
    x = 104,831,533.11/11,589.85
  6. Step 6: Final answer
    x = 9,045.12

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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.