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Finding the Fourth Proportional to 7,729.65, 10,666.74 and 4,192.83

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Solution

The fourth proportional to 7,729.65, 10,666.74 and 4,192.83 is: 5,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.65 : 10,666.74 = 4,192.83 : x
  2. Step 2: Convert to fraction form
    7,729.65/10,666.74 = 4,192.83/x
  3. Step 3: Cross multiply
    7,729.65x = 10,666.74 × 4,192.83
  4. Step 4: Simplify right side
    7,729.65x = 44,723,827.47
  5. Step 5: Solve for x
    x = 44,723,827.47/7,729.65
  6. Step 6: Final answer
    x = 5,786.01

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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.