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Finding the Fourth Proportional to 7,802.81, 11,709.68 and 4,511.37

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Solution

The fourth proportional to 7,802.81, 11,709.68 and 4,511.37 is: 6,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.81 : 11,709.68 = 4,511.37 : x
  2. Step 2: Convert to fraction form
    7,802.81/11,709.68 = 4,511.37/x
  3. Step 3: Cross multiply
    7,802.81x = 11,709.68 × 4,511.37
  4. Step 4: Simplify right side
    7,802.81x = 52,826,699.06
  5. Step 5: Solve for x
    x = 52,826,699.06/7,802.81
  6. Step 6: Final answer
    x = 6,770.21

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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.