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Finding the Fourth Proportional to 8,894, 13,341.18 and 2,738

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Solution

The fourth proportional to 8,894, 13,341.18 and 2,738 is: 4,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894 : 13,341.18 = 2,738 : x
  2. Step 2: Convert to fraction form
    8,894/13,341.18 = 2,738/x
  3. Step 3: Cross multiply
    8,894x = 13,341.18 × 2,738
  4. Step 4: Simplify right side
    8,894x = 36,528,150.84
  5. Step 5: Solve for x
    x = 36,528,150.84/8,894
  6. Step 6: Final answer
    x = 4,107.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.