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Finding the Fourth Proportional to 7,496.47, 11,242.74 and 2,230.06

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Solution

The fourth proportional to 7,496.47, 11,242.74 and 2,230.06 is: 3,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.47 : 11,242.74 = 2,230.06 : x
  2. Step 2: Convert to fraction form
    7,496.47/11,242.74 = 2,230.06/x
  3. Step 3: Cross multiply
    7,496.47x = 11,242.74 × 2,230.06
  4. Step 4: Simplify right side
    7,496.47x = 25,071,973.61
  5. Step 5: Solve for x
    x = 25,071,973.61/7,496.47
  6. Step 6: Final answer
    x = 3,344.51

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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.