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Finding the Fourth Proportional to 10,489.37, 15,749.51 and 7,001.10

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Solution

The fourth proportional to 10,489.37, 15,749.51 and 7,001.10 is: 10,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.37 : 15,749.51 = 7,001.10 : x
  2. Step 2: Convert to fraction form
    10,489.37/15,749.51 = 7,001.10/x
  3. Step 3: Cross multiply
    10,489.37x = 15,749.51 × 7,001.10
  4. Step 4: Simplify right side
    10,489.37x = 110,263,859.46
  5. Step 5: Solve for x
    x = 110,263,859.46/10,489.37
  6. Step 6: Final answer
    x = 10,511.97

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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.