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Finding the Fourth Proportional to 7,256.50, 10,015.20 and 4,114.54

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Solution

The fourth proportional to 7,256.50, 10,015.20 and 4,114.54 is: 5,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.50 : 10,015.20 = 4,114.54 : x
  2. Step 2: Convert to fraction form
    7,256.50/10,015.20 = 4,114.54/x
  3. Step 3: Cross multiply
    7,256.50x = 10,015.20 × 4,114.54
  4. Step 4: Simplify right side
    7,256.50x = 41,207,941.01
  5. Step 5: Solve for x
    x = 41,207,941.01/7,256.50
  6. Step 6: Final answer
    x = 5,678.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.