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Finding the Fourth Proportional to 7,651.69, 11,477.63 and 2,971.96

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Solution

The fourth proportional to 7,651.69, 11,477.63 and 2,971.96 is: 4,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.69 : 11,477.63 = 2,971.96 : x
  2. Step 2: Convert to fraction form
    7,651.69/11,477.63 = 2,971.96/x
  3. Step 3: Cross multiply
    7,651.69x = 11,477.63 × 2,971.96
  4. Step 4: Simplify right side
    7,651.69x = 34,111,013.70
  5. Step 5: Solve for x
    x = 34,111,013.70/7,651.69
  6. Step 6: Final answer
    x = 4,457.97

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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.