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Finding the Fourth Proportional to 11,620.31, 16,038.56 and 7,147.90

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Solution

The fourth proportional to 11,620.31, 16,038.56 and 7,147.90 is: 9,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.31 : 16,038.56 = 7,147.90 : x
  2. Step 2: Convert to fraction form
    11,620.31/16,038.56 = 7,147.90/x
  3. Step 3: Cross multiply
    11,620.31x = 16,038.56 × 7,147.90
  4. Step 4: Simplify right side
    11,620.31x = 114,642,023.02
  5. Step 5: Solve for x
    x = 114,642,023.02/11,620.31
  6. Step 6: Final answer
    x = 9,865.66

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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.