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Finding the Fourth Proportional to 10,059.37, 13,881 and 5,970.47

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Solution

The fourth proportional to 10,059.37, 13,881 and 5,970.47 is: 8,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.37 : 13,881 = 5,970.47 : x
  2. Step 2: Convert to fraction form
    10,059.37/13,881 = 5,970.47/x
  3. Step 3: Cross multiply
    10,059.37x = 13,881 × 5,970.47
  4. Step 4: Simplify right side
    10,059.37x = 82,876,024.67
  5. Step 5: Solve for x
    x = 82,876,024.67/10,059.37
  6. Step 6: Final answer
    x = 8,238.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.