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Finding the Fourth Proportional to 7,633.24, 10,527.98 and 5,114.54

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Solution

The fourth proportional to 7,633.24, 10,527.98 and 5,114.54 is: 7,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.24 : 10,527.98 = 5,114.54 : x
  2. Step 2: Convert to fraction form
    7,633.24/10,527.98 = 5,114.54/x
  3. Step 3: Cross multiply
    7,633.24x = 10,527.98 × 5,114.54
  4. Step 4: Simplify right side
    7,633.24x = 53,845,775.58
  5. Step 5: Solve for x
    x = 53,845,775.58/7,633.24
  6. Step 6: Final answer
    x = 7,054.12

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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.