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Finding the Fourth Proportional to 7,835.30, 11,762.97 and 6,731.78

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Solution

The fourth proportional to 7,835.30, 11,762.97 and 6,731.78 is: 10,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.30 : 11,762.97 = 6,731.78 : x
  2. Step 2: Convert to fraction form
    7,835.30/11,762.97 = 6,731.78/x
  3. Step 3: Cross multiply
    7,835.30x = 11,762.97 × 6,731.78
  4. Step 4: Simplify right side
    7,835.30x = 79,185,726.19
  5. Step 5: Solve for x
    x = 79,185,726.19/7,835.30
  6. Step 6: Final answer
    x = 10,106.28

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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.