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Finding the Fourth Proportional to 10,753.82, 14,841.72 and 6,038.36

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Solution

The fourth proportional to 10,753.82, 14,841.72 and 6,038.36 is: 8,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.82 : 14,841.72 = 6,038.36 : x
  2. Step 2: Convert to fraction form
    10,753.82/14,841.72 = 6,038.36/x
  3. Step 3: Cross multiply
    10,753.82x = 14,841.72 × 6,038.36
  4. Step 4: Simplify right side
    10,753.82x = 89,619,648.38
  5. Step 5: Solve for x
    x = 89,619,648.38/10,753.82
  6. Step 6: Final answer
    x = 8,333.75

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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.