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Finding the Fourth Proportional to 8,110.78, 11,197.74 and 7,270

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Solution

The fourth proportional to 8,110.78, 11,197.74 and 7,270 is: 10,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.78 : 11,197.74 = 7,270 : x
  2. Step 2: Convert to fraction form
    8,110.78/11,197.74 = 7,270/x
  3. Step 3: Cross multiply
    8,110.78x = 11,197.74 × 7,270
  4. Step 4: Simplify right side
    8,110.78x = 81,407,569.80
  5. Step 5: Solve for x
    x = 81,407,569.80/8,110.78
  6. Step 6: Final answer
    x = 10,036.96

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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.