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Finding the Fourth Proportional to 7,102.53, 10,652.85 and 1,908.81

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Solution

The fourth proportional to 7,102.53, 10,652.85 and 1,908.81 is: 2,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.53 : 10,652.85 = 1,908.81 : x
  2. Step 2: Convert to fraction form
    7,102.53/10,652.85 = 1,908.81/x
  3. Step 3: Cross multiply
    7,102.53x = 10,652.85 × 1,908.81
  4. Step 4: Simplify right side
    7,102.53x = 20,334,266.61
  5. Step 5: Solve for x
    x = 20,334,266.61/7,102.53
  6. Step 6: Final answer
    x = 2,862.96

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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.