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Finding the Fourth Proportional to 8,614.08, 11,894.04 and 6,261.84

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Solution

The fourth proportional to 8,614.08, 11,894.04 and 6,261.84 is: 8,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.08 : 11,894.04 = 6,261.84 : x
  2. Step 2: Convert to fraction form
    8,614.08/11,894.04 = 6,261.84/x
  3. Step 3: Cross multiply
    8,614.08x = 11,894.04 × 6,261.84
  4. Step 4: Simplify right side
    8,614.08x = 74,478,575.43
  5. Step 5: Solve for x
    x = 74,478,575.43/8,614.08
  6. Step 6: Final answer
    x = 8,646.14

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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.