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Finding the Fourth Proportional to 7,236.10, 10,854.15 and 4,114.90

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Solution

The fourth proportional to 7,236.10, 10,854.15 and 4,114.90 is: 6,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236.10 : 10,854.15 = 4,114.90 : x
  2. Step 2: Convert to fraction form
    7,236.10/10,854.15 = 4,114.90/x
  3. Step 3: Cross multiply
    7,236.10x = 10,854.15 × 4,114.90
  4. Step 4: Simplify right side
    7,236.10x = 44,663,741.84
  5. Step 5: Solve for x
    x = 44,663,741.84/7,236.10
  6. Step 6: Final answer
    x = 6,172.35

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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.