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Finding the Fourth Proportional to 11,817.66, 16,307.63 and 6,782.29

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Solution

The fourth proportional to 11,817.66, 16,307.63 and 6,782.29 is: 9,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.66 : 16,307.63 = 6,782.29 : x
  2. Step 2: Convert to fraction form
    11,817.66/16,307.63 = 6,782.29/x
  3. Step 3: Cross multiply
    11,817.66x = 16,307.63 × 6,782.29
  4. Step 4: Simplify right side
    11,817.66x = 110,603,075.87
  5. Step 5: Solve for x
    x = 110,603,075.87/11,817.66
  6. Step 6: Final answer
    x = 9,359.14

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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.