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Finding the Fourth Proportional to 11,343.36, 17,018.64 and 6,146.40

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Solution

The fourth proportional to 11,343.36, 17,018.64 and 6,146.40 is: 9,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.36 : 17,018.64 = 6,146.40 : x
  2. Step 2: Convert to fraction form
    11,343.36/17,018.64 = 6,146.40/x
  3. Step 3: Cross multiply
    11,343.36x = 17,018.64 × 6,146.40
  4. Step 4: Simplify right side
    11,343.36x = 104,603,368.90
  5. Step 5: Solve for x
    x = 104,603,368.90/11,343.36
  6. Step 6: Final answer
    x = 9,221.55

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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.