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Finding the Fourth Proportional to 11,486.30, 15,851.90 and 6,451.00

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Solution

The fourth proportional to 11,486.30, 15,851.90 and 6,451.00 is: 8,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.30 : 15,851.90 = 6,451.00 : x
  2. Step 2: Convert to fraction form
    11,486.30/15,851.90 = 6,451.00/x
  3. Step 3: Cross multiply
    11,486.30x = 15,851.90 × 6,451.00
  4. Step 4: Simplify right side
    11,486.30x = 102,260,583.40
  5. Step 5: Solve for x
    x = 102,260,583.40/11,486.30
  6. Step 6: Final answer
    x = 8,902.83

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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.