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Finding the Fourth Proportional to 10,494.08, 14,465.04 and 7,967.96

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Solution

The fourth proportional to 10,494.08, 14,465.04 and 7,967.96 is: 10,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.08 : 14,465.04 = 7,967.96 : x
  2. Step 2: Convert to fraction form
    10,494.08/14,465.04 = 7,967.96/x
  3. Step 3: Cross multiply
    10,494.08x = 14,465.04 × 7,967.96
  4. Step 4: Simplify right side
    10,494.08x = 115,256,860.12
  5. Step 5: Solve for x
    x = 115,256,860.12/10,494.08
  6. Step 6: Final answer
    x = 10,983.04

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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.