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Finding the Fourth Proportional to 11,075.67, 15,284.43 and 6,359.63

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Solution

The fourth proportional to 11,075.67, 15,284.43 and 6,359.63 is: 8,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.67 : 15,284.43 = 6,359.63 : x
  2. Step 2: Convert to fraction form
    11,075.67/15,284.43 = 6,359.63/x
  3. Step 3: Cross multiply
    11,075.67x = 15,284.43 × 6,359.63
  4. Step 4: Simplify right side
    11,075.67x = 97,203,243.14
  5. Step 5: Solve for x
    x = 97,203,243.14/11,075.67
  6. Step 6: Final answer
    x = 8,776.29

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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.