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Finding the Fourth Proportional to 12,381.22, 17,084.28 and 7,075

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Solution

The fourth proportional to 12,381.22, 17,084.28 and 7,075 is: 9,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.22 : 17,084.28 = 7,075 : x
  2. Step 2: Convert to fraction form
    12,381.22/17,084.28 = 7,075/x
  3. Step 3: Cross multiply
    12,381.22x = 17,084.28 × 7,075
  4. Step 4: Simplify right side
    12,381.22x = 120,871,281.00
  5. Step 5: Solve for x
    x = 120,871,281.00/12,381.22
  6. Step 6: Final answer
    x = 9,762.47

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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.