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Finding the Fourth Proportional to 10,749.01, 16,129.74 and 4,508.47

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Solution

The fourth proportional to 10,749.01, 16,129.74 and 4,508.47 is: 6,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.01 : 16,129.74 = 4,508.47 : x
  2. Step 2: Convert to fraction form
    10,749.01/16,129.74 = 4,508.47/x
  3. Step 3: Cross multiply
    10,749.01x = 16,129.74 × 4,508.47
  4. Step 4: Simplify right side
    10,749.01x = 72,720,368.25
  5. Step 5: Solve for x
    x = 72,720,368.25/10,749.01
  6. Step 6: Final answer
    x = 6,765.31

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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.