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Finding the Fourth Proportional to 7,498.09, 11,254.02 and 3,802.90

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Solution

The fourth proportional to 7,498.09, 11,254.02 and 3,802.90 is: 5,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.09 : 11,254.02 = 3,802.90 : x
  2. Step 2: Convert to fraction form
    7,498.09/11,254.02 = 3,802.90/x
  3. Step 3: Cross multiply
    7,498.09x = 11,254.02 × 3,802.90
  4. Step 4: Simplify right side
    7,498.09x = 42,797,912.66
  5. Step 5: Solve for x
    x = 42,797,912.66/7,498.09
  6. Step 6: Final answer
    x = 5,707.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.