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Finding the Fourth Proportional to 7,810.45, 10,778.31 and 4,453.14

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Solution

The fourth proportional to 7,810.45, 10,778.31 and 4,453.14 is: 6,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.45 : 10,778.31 = 4,453.14 : x
  2. Step 2: Convert to fraction form
    7,810.45/10,778.31 = 4,453.14/x
  3. Step 3: Cross multiply
    7,810.45x = 10,778.31 × 4,453.14
  4. Step 4: Simplify right side
    7,810.45x = 47,997,323.39
  5. Step 5: Solve for x
    x = 47,997,323.39/7,810.45
  6. Step 6: Final answer
    x = 6,145.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.