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Finding the Fourth Proportional to 8,736.84, 13,041.82 and 8,086.34

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Solution

The fourth proportional to 8,736.84, 13,041.82 and 8,086.34 is: 12,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.84 : 13,041.82 = 8,086.34 : x
  2. Step 2: Convert to fraction form
    8,736.84/13,041.82 = 8,086.34/x
  3. Step 3: Cross multiply
    8,736.84x = 13,041.82 × 8,086.34
  4. Step 4: Simplify right side
    8,736.84x = 105,460,633.45
  5. Step 5: Solve for x
    x = 105,460,633.45/8,736.84
  6. Step 6: Final answer
    x = 12,070.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.