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Finding the Fourth Proportional to 7,457.00, 10,290.26 and 4,099.16

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Solution

The fourth proportional to 7,457.00, 10,290.26 and 4,099.16 is: 5,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.00 : 10,290.26 = 4,099.16 : x
  2. Step 2: Convert to fraction form
    7,457.00/10,290.26 = 4,099.16/x
  3. Step 3: Cross multiply
    7,457.00x = 10,290.26 × 4,099.16
  4. Step 4: Simplify right side
    7,457.00x = 42,181,401.69
  5. Step 5: Solve for x
    x = 42,181,401.69/7,457.00
  6. Step 6: Final answer
    x = 5,656.62

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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.