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Finding the Fourth Proportional to 7,636.96, 11,458.80 and 4,122.92

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Solution

The fourth proportional to 7,636.96, 11,458.80 and 4,122.92 is: 6,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.96 : 11,458.80 = 4,122.92 : x
  2. Step 2: Convert to fraction form
    7,636.96/11,458.80 = 4,122.92/x
  3. Step 3: Cross multiply
    7,636.96x = 11,458.80 × 4,122.92
  4. Step 4: Simplify right side
    7,636.96x = 47,243,715.70
  5. Step 5: Solve for x
    x = 47,243,715.70/7,636.96
  6. Step 6: Final answer
    x = 6,186.19

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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.