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Finding the Fourth Proportional to 11,755.56, 16,223.18 and 7,038.94

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Solution

The fourth proportional to 11,755.56, 16,223.18 and 7,038.94 is: 9,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.56 : 16,223.18 = 7,038.94 : x
  2. Step 2: Convert to fraction form
    11,755.56/16,223.18 = 7,038.94/x
  3. Step 3: Cross multiply
    11,755.56x = 16,223.18 × 7,038.94
  4. Step 4: Simplify right side
    11,755.56x = 114,193,990.63
  5. Step 5: Solve for x
    x = 114,193,990.63/11,755.56
  6. Step 6: Final answer
    x = 9,714.04

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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.