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Finding the Fourth Proportional to 11,471.03, 15,814.87 and 7,485.22

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Solution

The fourth proportional to 11,471.03, 15,814.87 and 7,485.22 is: 10,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.03 : 15,814.87 = 7,485.22 : x
  2. Step 2: Convert to fraction form
    11,471.03/15,814.87 = 7,485.22/x
  3. Step 3: Cross multiply
    11,471.03x = 15,814.87 × 7,485.22
  4. Step 4: Simplify right side
    11,471.03x = 118,377,781.22
  5. Step 5: Solve for x
    x = 118,377,781.22/11,471.03
  6. Step 6: Final answer
    x = 10,319.72

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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.