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Finding the Fourth Proportional to 10,749.64, 16,127.37 and 4,506.37

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Solution

The fourth proportional to 10,749.64, 16,127.37 and 4,506.37 is: 6,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.64 : 16,127.37 = 4,506.37 : x
  2. Step 2: Convert to fraction form
    10,749.64/16,127.37 = 4,506.37/x
  3. Step 3: Cross multiply
    10,749.64x = 16,127.37 × 4,506.37
  4. Step 4: Simplify right side
    10,749.64x = 72,675,815.71
  5. Step 5: Solve for x
    x = 72,675,815.71/10,749.64
  6. Step 6: Final answer
    x = 6,760.77

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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.