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Finding the Fourth Proportional to 7,980.81, 10,997.82 and 7,783.98

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Solution

The fourth proportional to 7,980.81, 10,997.82 and 7,783.98 is: 10,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.81 : 10,997.82 = 7,783.98 : x
  2. Step 2: Convert to fraction form
    7,980.81/10,997.82 = 7,783.98/x
  3. Step 3: Cross multiply
    7,980.81x = 10,997.82 × 7,783.98
  4. Step 4: Simplify right side
    7,980.81x = 85,606,810.92
  5. Step 5: Solve for x
    x = 85,606,810.92/7,980.81
  6. Step 6: Final answer
    x = 10,726.58

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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.