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Finding the Fourth Proportional to 7,636.12, 11,471.72 and 5,389.82

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Solution

The fourth proportional to 7,636.12, 11,471.72 and 5,389.82 is: 8,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.12 : 11,471.72 = 5,389.82 : x
  2. Step 2: Convert to fraction form
    7,636.12/11,471.72 = 5,389.82/x
  3. Step 3: Cross multiply
    7,636.12x = 11,471.72 × 5,389.82
  4. Step 4: Simplify right side
    7,636.12x = 61,830,505.89
  5. Step 5: Solve for x
    x = 61,830,505.89/7,636.12
  6. Step 6: Final answer
    x = 8,097.11

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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.