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Finding the Fourth Proportional to 11,855.73, 16,358.54 and 7,140.32

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Solution

The fourth proportional to 11,855.73, 16,358.54 and 7,140.32 is: 9,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.73 : 16,358.54 = 7,140.32 : x
  2. Step 2: Convert to fraction form
    11,855.73/16,358.54 = 7,140.32/x
  3. Step 3: Cross multiply
    11,855.73x = 16,358.54 × 7,140.32
  4. Step 4: Simplify right side
    11,855.73x = 116,805,128.54
  5. Step 5: Solve for x
    x = 116,805,128.54/11,855.73
  6. Step 6: Final answer
    x = 9,852.21

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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.