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Finding the Fourth Proportional to 10,615.77, 14,650.52 and 5,900.36

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Solution

The fourth proportional to 10,615.77, 14,650.52 and 5,900.36 is: 8,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.77 : 14,650.52 = 5,900.36 : x
  2. Step 2: Convert to fraction form
    10,615.77/14,650.52 = 5,900.36/x
  3. Step 3: Cross multiply
    10,615.77x = 14,650.52 × 5,900.36
  4. Step 4: Simplify right side
    10,615.77x = 86,443,239.43
  5. Step 5: Solve for x
    x = 86,443,239.43/10,615.77
  6. Step 6: Final answer
    x = 8,142.91

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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.