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Finding the Fourth Proportional to 10,800.12, 14,903.82 and 6,083.76

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Solution

The fourth proportional to 10,800.12, 14,903.82 and 6,083.76 is: 8,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.12 : 14,903.82 = 6,083.76 : x
  2. Step 2: Convert to fraction form
    10,800.12/14,903.82 = 6,083.76/x
  3. Step 3: Cross multiply
    10,800.12x = 14,903.82 × 6,083.76
  4. Step 4: Simplify right side
    10,800.12x = 90,671,263.96
  5. Step 5: Solve for x
    x = 90,671,263.96/10,800.12
  6. Step 6: Final answer
    x = 8,395.39

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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.