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Finding the Fourth Proportional to 11,598.63, 17,397.87 and 2,833.47

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Solution

The fourth proportional to 11,598.63, 17,397.87 and 2,833.47 is: 4,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.63 : 17,397.87 = 2,833.47 : x
  2. Step 2: Convert to fraction form
    11,598.63/17,397.87 = 2,833.47/x
  3. Step 3: Cross multiply
    11,598.63x = 17,397.87 × 2,833.47
  4. Step 4: Simplify right side
    11,598.63x = 49,296,342.71
  5. Step 5: Solve for x
    x = 49,296,342.71/11,598.63
  6. Step 6: Final answer
    x = 4,250.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.