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Finding the Fourth Proportional to 7,629, 10,527.44 and 4,644.50

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Solution

The fourth proportional to 7,629, 10,527.44 and 4,644.50 is: 6,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629 : 10,527.44 = 4,644.50 : x
  2. Step 2: Convert to fraction form
    7,629/10,527.44 = 4,644.50/x
  3. Step 3: Cross multiply
    7,629x = 10,527.44 × 4,644.50
  4. Step 4: Simplify right side
    7,629x = 48,894,733.01
  5. Step 5: Solve for x
    x = 48,894,733.01/7,629
  6. Step 6: Final answer
    x = 6,409.06

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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.