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Finding the Fourth Proportional to 7,274.50, 10,038.34 and 4,289.65

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Solution

The fourth proportional to 7,274.50, 10,038.34 and 4,289.65 is: 5,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.50 : 10,038.34 = 4,289.65 : x
  2. Step 2: Convert to fraction form
    7,274.50/10,038.34 = 4,289.65/x
  3. Step 3: Cross multiply
    7,274.50x = 10,038.34 × 4,289.65
  4. Step 4: Simplify right side
    7,274.50x = 43,060,954.46
  5. Step 5: Solve for x
    x = 43,060,954.46/7,274.50
  6. Step 6: Final answer
    x = 5,919.44

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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.