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Finding the Fourth Proportional to 7,440.10, 10,267 and 4,454.16

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Solution

The fourth proportional to 7,440.10, 10,267 and 4,454.16 is: 6,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.10 : 10,267 = 4,454.16 : x
  2. Step 2: Convert to fraction form
    7,440.10/10,267 = 4,454.16/x
  3. Step 3: Cross multiply
    7,440.10x = 10,267 × 4,454.16
  4. Step 4: Simplify right side
    7,440.10x = 45,730,860.72
  5. Step 5: Solve for x
    x = 45,730,860.72/7,440.10
  6. Step 6: Final answer
    x = 6,146.54

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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.