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Finding the Fourth Proportional to 11,610.74, 16,023.81 and 6,575.84

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Solution

The fourth proportional to 11,610.74, 16,023.81 and 6,575.84 is: 9,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.74 : 16,023.81 = 6,575.84 : x
  2. Step 2: Convert to fraction form
    11,610.74/16,023.81 = 6,575.84/x
  3. Step 3: Cross multiply
    11,610.74x = 16,023.81 × 6,575.84
  4. Step 4: Simplify right side
    11,610.74x = 105,370,010.75
  5. Step 5: Solve for x
    x = 105,370,010.75/11,610.74
  6. Step 6: Final answer
    x = 9,075.22

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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.