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Finding the Fourth Proportional to 10,762.88, 14,852.36 and 5,983.11

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Solution

The fourth proportional to 10,762.88, 14,852.36 and 5,983.11 is: 8,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.88 : 14,852.36 = 5,983.11 : x
  2. Step 2: Convert to fraction form
    10,762.88/14,852.36 = 5,983.11/x
  3. Step 3: Cross multiply
    10,762.88x = 14,852.36 × 5,983.11
  4. Step 4: Simplify right side
    10,762.88x = 88,863,318.60
  5. Step 5: Solve for x
    x = 88,863,318.60/10,762.88
  6. Step 6: Final answer
    x = 8,256.47

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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.