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Finding the Fourth Proportional to 10,483.18, 14,467.05 and 5,703.39

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Solution

The fourth proportional to 10,483.18, 14,467.05 and 5,703.39 is: 7,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.18 : 14,467.05 = 5,703.39 : x
  2. Step 2: Convert to fraction form
    10,483.18/14,467.05 = 5,703.39/x
  3. Step 3: Cross multiply
    10,483.18x = 14,467.05 × 5,703.39
  4. Step 4: Simplify right side
    10,483.18x = 82,511,228.30
  5. Step 5: Solve for x
    x = 82,511,228.30/10,483.18
  6. Step 6: Final answer
    x = 7,870.82

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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.