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Finding the Fourth Proportional to 11,607, 17,387.44 and 5,745.72

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Solution

The fourth proportional to 11,607, 17,387.44 and 5,745.72 is: 8,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607 : 17,387.44 = 5,745.72 : x
  2. Step 2: Convert to fraction form
    11,607/17,387.44 = 5,745.72/x
  3. Step 3: Cross multiply
    11,607x = 17,387.44 × 5,745.72
  4. Step 4: Simplify right side
    11,607x = 99,903,361.76
  5. Step 5: Solve for x
    x = 99,903,361.76/11,607
  6. Step 6: Final answer
    x = 8,607.16

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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.