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Finding the Fourth Proportional to 7,125.14, 10,681.94 and 2,968.27

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Solution

The fourth proportional to 7,125.14, 10,681.94 and 2,968.27 is: 4,450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.14 : 10,681.94 = 2,968.27 : x
  2. Step 2: Convert to fraction form
    7,125.14/10,681.94 = 2,968.27/x
  3. Step 3: Cross multiply
    7,125.14x = 10,681.94 × 2,968.27
  4. Step 4: Simplify right side
    7,125.14x = 31,706,835.22
  5. Step 5: Solve for x
    x = 31,706,835.22/7,125.14
  6. Step 6: Final answer
    x = 4,450.00

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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.