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Finding the Fourth Proportional to 8,172.34, 12,242.46 and 5,390.53

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Solution

The fourth proportional to 8,172.34, 12,242.46 and 5,390.53 is: 8,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.34 : 12,242.46 = 5,390.53 : x
  2. Step 2: Convert to fraction form
    8,172.34/12,242.46 = 5,390.53/x
  3. Step 3: Cross multiply
    8,172.34x = 12,242.46 × 5,390.53
  4. Step 4: Simplify right side
    8,172.34x = 65,993,347.90
  5. Step 5: Solve for x
    x = 65,993,347.90/8,172.34
  6. Step 6: Final answer
    x = 8,075.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.