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Finding the Fourth Proportional to 11,659.12, 17,492.96 and 7,280.26

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Solution

The fourth proportional to 11,659.12, 17,492.96 and 7,280.26 is: 10,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.12 : 17,492.96 = 7,280.26 : x
  2. Step 2: Convert to fraction form
    11,659.12/17,492.96 = 7,280.26/x
  3. Step 3: Cross multiply
    11,659.12x = 17,492.96 × 7,280.26
  4. Step 4: Simplify right side
    11,659.12x = 127,353,271.44
  5. Step 5: Solve for x
    x = 127,353,271.44/11,659.12
  6. Step 6: Final answer
    x = 10,923.06

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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.