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Finding the Fourth Proportional to 7,256.75, 10,014.32 and 4,113.14

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Solution

The fourth proportional to 7,256.75, 10,014.32 and 4,113.14 is: 5,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.75 : 10,014.32 = 4,113.14 : x
  2. Step 2: Convert to fraction form
    7,256.75/10,014.32 = 4,113.14/x
  3. Step 3: Cross multiply
    7,256.75x = 10,014.32 × 4,113.14
  4. Step 4: Simplify right side
    7,256.75x = 41,190,279.60
  5. Step 5: Solve for x
    x = 41,190,279.60/7,256.75
  6. Step 6: Final answer
    x = 5,676.13

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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.