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Finding the Fourth Proportional to 8,110.64, 11,189.40 and 7,554.80

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Solution

The fourth proportional to 8,110.64, 11,189.40 and 7,554.80 is: 10,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.64 : 11,189.40 = 7,554.80 : x
  2. Step 2: Convert to fraction form
    8,110.64/11,189.40 = 7,554.80/x
  3. Step 3: Cross multiply
    8,110.64x = 11,189.40 × 7,554.80
  4. Step 4: Simplify right side
    8,110.64x = 84,533,679.12
  5. Step 5: Solve for x
    x = 84,533,679.12/8,110.64
  6. Step 6: Final answer
    x = 10,422.57

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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.