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Finding the Fourth Proportional to 11,490.90, 15,858.62 and 7,017.28

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Solution

The fourth proportional to 11,490.90, 15,858.62 and 7,017.28 is: 9,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.90 : 15,858.62 = 7,017.28 : x
  2. Step 2: Convert to fraction form
    11,490.90/15,858.62 = 7,017.28/x
  3. Step 3: Cross multiply
    11,490.90x = 15,858.62 × 7,017.28
  4. Step 4: Simplify right side
    11,490.90x = 111,284,376.95
  5. Step 5: Solve for x
    x = 111,284,376.95/11,490.90
  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.