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Finding the Fourth Proportional to 8,444.08, 11,646.30 and 6,449.68

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Solution

The fourth proportional to 8,444.08, 11,646.30 and 6,449.68 is: 8,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.08 : 11,646.30 = 6,449.68 : x
  2. Step 2: Convert to fraction form
    8,444.08/11,646.30 = 6,449.68/x
  3. Step 3: Cross multiply
    8,444.08x = 11,646.30 × 6,449.68
  4. Step 4: Simplify right side
    8,444.08x = 75,114,908.18
  5. Step 5: Solve for x
    x = 75,114,908.18/8,444.08
  6. Step 6: Final answer
    x = 8,895.57

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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.