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Finding the Fourth Proportional to 11,446.12, 17,168.86 and 3,655.40

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Solution

The fourth proportional to 11,446.12, 17,168.86 and 3,655.40 is: 5,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.12 : 17,168.86 = 3,655.40 : x
  2. Step 2: Convert to fraction form
    11,446.12/17,168.86 = 3,655.40/x
  3. Step 3: Cross multiply
    11,446.12x = 17,168.86 × 3,655.40
  4. Step 4: Simplify right side
    11,446.12x = 62,759,050.84
  5. Step 5: Solve for x
    x = 62,759,050.84/11,446.12
  6. Step 6: Final answer
    x = 5,483.00

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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.