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Finding the Fourth Proportional to 11,555.25, 15,946.25 and 7,365.93

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Solution

The fourth proportional to 11,555.25, 15,946.25 and 7,365.93 is: 10,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.25 : 15,946.25 = 7,365.93 : x
  2. Step 2: Convert to fraction form
    11,555.25/15,946.25 = 7,365.93/x
  3. Step 3: Cross multiply
    11,555.25x = 15,946.25 × 7,365.93
  4. Step 4: Simplify right side
    11,555.25x = 117,458,961.26
  5. Step 5: Solve for x
    x = 117,458,961.26/11,555.25
  6. Step 6: Final answer
    x = 10,164.99

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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.