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Finding the Fourth Proportional to 11,822.22, 16,312.86 and 7,040.70

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Solution

The fourth proportional to 11,822.22, 16,312.86 and 7,040.70 is: 9,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.22 : 16,312.86 = 7,040.70 : x
  2. Step 2: Convert to fraction form
    11,822.22/16,312.86 = 7,040.70/x
  3. Step 3: Cross multiply
    11,822.22x = 16,312.86 × 7,040.70
  4. Step 4: Simplify right side
    11,822.22x = 114,853,953.40
  5. Step 5: Solve for x
    x = 114,853,953.40/11,822.22
  6. Step 6: Final answer
    x = 9,715.09

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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.