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Finding the Fourth Proportional to 10,446.64, 15,669.90 and 2,656.06

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Solution

The fourth proportional to 10,446.64, 15,669.90 and 2,656.06 is: 3,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.64 : 15,669.90 = 2,656.06 : x
  2. Step 2: Convert to fraction form
    10,446.64/15,669.90 = 2,656.06/x
  3. Step 3: Cross multiply
    10,446.64x = 15,669.90 × 2,656.06
  4. Step 4: Simplify right side
    10,446.64x = 41,620,194.59
  5. Step 5: Solve for x
    x = 41,620,194.59/10,446.64
  6. Step 6: Final answer
    x = 3,984.07

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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.