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Finding the Fourth Proportional to 11,878.22, 16,395.28 and 7,099.22

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Solution

The fourth proportional to 11,878.22, 16,395.28 and 7,099.22 is: 9,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.22 : 16,395.28 = 7,099.22 : x
  2. Step 2: Convert to fraction form
    11,878.22/16,395.28 = 7,099.22/x
  3. Step 3: Cross multiply
    11,878.22x = 16,395.28 × 7,099.22
  4. Step 4: Simplify right side
    11,878.22x = 116,393,699.68
  5. Step 5: Solve for x
    x = 116,393,699.68/11,878.22
  6. Step 6: Final answer
    x = 9,798.92

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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.