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Finding the Fourth Proportional to 7,114.81, 10,675.97 and 3,652.06

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Solution

The fourth proportional to 7,114.81, 10,675.97 and 3,652.06 is: 5,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.81 : 10,675.97 = 3,652.06 : x
  2. Step 2: Convert to fraction form
    7,114.81/10,675.97 = 3,652.06/x
  3. Step 3: Cross multiply
    7,114.81x = 10,675.97 × 3,652.06
  4. Step 4: Simplify right side
    7,114.81x = 38,989,283.00
  5. Step 5: Solve for x
    x = 38,989,283.00/7,114.81
  6. Step 6: Final answer
    x = 5,480.02

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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.