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Finding the Fourth Proportional to 7,457.09, 10,291.04 and 4,100.21

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Solution

The fourth proportional to 7,457.09, 10,291.04 and 4,100.21 is: 5,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.09 : 10,291.04 = 4,100.21 : x
  2. Step 2: Convert to fraction form
    7,457.09/10,291.04 = 4,100.21/x
  3. Step 3: Cross multiply
    7,457.09x = 10,291.04 × 4,100.21
  4. Step 4: Simplify right side
    7,457.09x = 42,195,353.16
  5. Step 5: Solve for x
    x = 42,195,353.16/7,457.09
  6. Step 6: Final answer
    x = 5,658.42

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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.