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Finding the Fourth Proportional to 11,455.83, 15,804.50 and 6,732.63

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Solution

The fourth proportional to 11,455.83, 15,804.50 and 6,732.63 is: 9,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.83 : 15,804.50 = 6,732.63 : x
  2. Step 2: Convert to fraction form
    11,455.83/15,804.50 = 6,732.63/x
  3. Step 3: Cross multiply
    11,455.83x = 15,804.50 × 6,732.63
  4. Step 4: Simplify right side
    11,455.83x = 106,405,817.17
  5. Step 5: Solve for x
    x = 106,405,817.17/11,455.83
  6. Step 6: Final answer
    x = 9,288.36

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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.