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Finding the Fourth Proportional to 11,075.74, 15,284.55 and 7,099.14

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Solution

The fourth proportional to 11,075.74, 15,284.55 and 7,099.14 is: 9,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.74 : 15,284.55 = 7,099.14 : x
  2. Step 2: Convert to fraction form
    11,075.74/15,284.55 = 7,099.14/x
  3. Step 3: Cross multiply
    11,075.74x = 15,284.55 × 7,099.14
  4. Step 4: Simplify right side
    11,075.74x = 108,507,204.29
  5. Step 5: Solve for x
    x = 108,507,204.29/11,075.74
  6. Step 6: Final answer
    x = 9,796.84

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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.