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Finding the Fourth Proportional to 6,529.99, 9,782.64 and 5,061.96

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Solution

The fourth proportional to 6,529.99, 9,782.64 and 5,061.96 is: 7,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.99 : 9,782.64 = 5,061.96 : x
  2. Step 2: Convert to fraction form
    6,529.99/9,782.64 = 5,061.96/x
  3. Step 3: Cross multiply
    6,529.99x = 9,782.64 × 5,061.96
  4. Step 4: Simplify right side
    6,529.99x = 49,519,332.37
  5. Step 5: Solve for x
    x = 49,519,332.37/6,529.99
  6. Step 6: Final answer
    x = 7,583.37

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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.