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Finding the Fourth Proportional to 10,235.40, 15,343.74 and 4,969.32

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Solution

The fourth proportional to 10,235.40, 15,343.74 and 4,969.32 is: 7,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.40 : 15,343.74 = 4,969.32 : x
  2. Step 2: Convert to fraction form
    10,235.40/15,343.74 = 4,969.32/x
  3. Step 3: Cross multiply
    10,235.40x = 15,343.74 × 4,969.32
  4. Step 4: Simplify right side
    10,235.40x = 76,247,954.06
  5. Step 5: Solve for x
    x = 76,247,954.06/10,235.40
  6. Step 6: Final answer
    x = 7,449.44

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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.