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Finding the Fourth Proportional to 11,782.46, 16,262.85 and 7,303.58

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Solution

The fourth proportional to 11,782.46, 16,262.85 and 7,303.58 is: 10,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.46 : 16,262.85 = 7,303.58 : x
  2. Step 2: Convert to fraction form
    11,782.46/16,262.85 = 7,303.58/x
  3. Step 3: Cross multiply
    11,782.46x = 16,262.85 × 7,303.58
  4. Step 4: Simplify right side
    11,782.46x = 118,777,026.00
  5. Step 5: Solve for x
    x = 118,777,026.00/11,782.46
  6. Step 6: Final answer
    x = 10,080.83

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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.