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Finding the Fourth Proportional to 7,457.94, 10,291.97 and 4,271.28

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Solution

The fourth proportional to 7,457.94, 10,291.97 and 4,271.28 is: 5,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.94 : 10,291.97 = 4,271.28 : x
  2. Step 2: Convert to fraction form
    7,457.94/10,291.97 = 4,271.28/x
  3. Step 3: Cross multiply
    7,457.94x = 10,291.97 × 4,271.28
  4. Step 4: Simplify right side
    7,457.94x = 43,959,885.62
  5. Step 5: Solve for x
    x = 43,959,885.62/7,457.94
  6. Step 6: Final answer
    x = 5,894.37

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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.