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Finding the Fourth Proportional to 11,486.75, 15,851.32 and 7,017.98

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Solution

The fourth proportional to 11,486.75, 15,851.32 and 7,017.98 is: 9,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.75 : 15,851.32 = 7,017.98 : x
  2. Step 2: Convert to fraction form
    11,486.75/15,851.32 = 7,017.98/x
  3. Step 3: Cross multiply
    11,486.75x = 15,851.32 × 7,017.98
  4. Step 4: Simplify right side
    11,486.75x = 111,244,268.82
  5. Step 5: Solve for x
    x = 111,244,268.82/11,486.75
  6. Step 6: Final answer
    x = 9,684.57

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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.