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Finding the Fourth Proportional to 7,632.17, 11,454.11 and 3,416.72

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Solution

The fourth proportional to 7,632.17, 11,454.11 and 3,416.72 is: 5,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.17 : 11,454.11 = 3,416.72 : x
  2. Step 2: Convert to fraction form
    7,632.17/11,454.11 = 3,416.72/x
  3. Step 3: Cross multiply
    7,632.17x = 11,454.11 × 3,416.72
  4. Step 4: Simplify right side
    7,632.17x = 39,135,486.72
  5. Step 5: Solve for x
    x = 39,135,486.72/7,632.17
  6. Step 6: Final answer
    x = 5,127.70

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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.