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Finding the Fourth Proportional to 7,954.26, 10,977.12 and 4,417.80

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Solution

The fourth proportional to 7,954.26, 10,977.12 and 4,417.80 is: 6,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.26 : 10,977.12 = 4,417.80 : x
  2. Step 2: Convert to fraction form
    7,954.26/10,977.12 = 4,417.80/x
  3. Step 3: Cross multiply
    7,954.26x = 10,977.12 × 4,417.80
  4. Step 4: Simplify right side
    7,954.26x = 48,494,720.74
  5. Step 5: Solve for x
    x = 48,494,720.74/7,954.26
  6. Step 6: Final answer
    x = 6,096.70

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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.