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Finding the Fourth Proportional to 10,864.16, 14,994.96 and 6,676

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Solution

The fourth proportional to 10,864.16, 14,994.96 and 6,676 is: 9,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.16 : 14,994.96 = 6,676 : x
  2. Step 2: Convert to fraction form
    10,864.16/14,994.96 = 6,676/x
  3. Step 3: Cross multiply
    10,864.16x = 14,994.96 × 6,676
  4. Step 4: Simplify right side
    10,864.16x = 100,106,352.96
  5. Step 5: Solve for x
    x = 100,106,352.96/10,864.16
  6. Step 6: Final answer
    x = 9,214.37

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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.