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Finding the Fourth Proportional to 7,014.81, 10,523.66 and 2,084.01

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Solution

The fourth proportional to 7,014.81, 10,523.66 and 2,084.01 is: 3,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.81 : 10,523.66 = 2,084.01 : x
  2. Step 2: Convert to fraction form
    7,014.81/10,523.66 = 2,084.01/x
  3. Step 3: Cross multiply
    7,014.81x = 10,523.66 × 2,084.01
  4. Step 4: Simplify right side
    7,014.81x = 21,931,402.26
  5. Step 5: Solve for x
    x = 21,931,402.26/7,014.81
  6. Step 6: Final answer
    x = 3,126.44

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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.