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Finding the Fourth Proportional to 11,500.08, 15,833.74 and 10,449

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Solution

The fourth proportional to 11,500.08, 15,833.74 and 10,449 is: 14,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.08 : 15,833.74 = 10,449 : x
  2. Step 2: Convert to fraction form
    11,500.08/15,833.74 = 10,449/x
  3. Step 3: Cross multiply
    11,500.08x = 15,833.74 × 10,449
  4. Step 4: Simplify right side
    11,500.08x = 165,446,749.26
  5. Step 5: Solve for x
    x = 165,446,749.26/11,500.08
  6. Step 6: Final answer
    x = 14,386.57

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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.