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Finding the Fourth Proportional to 8,254.50, 11,412.84 and 7,887.30

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Solution

The fourth proportional to 8,254.50, 11,412.84 and 7,887.30 is: 10,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.50 : 11,412.84 = 7,887.30 : x
  2. Step 2: Convert to fraction form
    8,254.50/11,412.84 = 7,887.30/x
  3. Step 3: Cross multiply
    8,254.50x = 11,412.84 × 7,887.30
  4. Step 4: Simplify right side
    8,254.50x = 90,016,492.93
  5. Step 5: Solve for x
    x = 90,016,492.93/8,254.50
  6. Step 6: Final answer
    x = 10,905.14

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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.