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Finding the Fourth Proportional to 10,479.54, 14,461.82 and 5,699.54

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Solution

The fourth proportional to 10,479.54, 14,461.82 and 5,699.54 is: 7,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.54 : 14,461.82 = 5,699.54 : x
  2. Step 2: Convert to fraction form
    10,479.54/14,461.82 = 5,699.54/x
  3. Step 3: Cross multiply
    10,479.54x = 14,461.82 × 5,699.54
  4. Step 4: Simplify right side
    10,479.54x = 82,425,690.62
  5. Step 5: Solve for x
    x = 82,425,690.62/10,479.54
  6. Step 6: Final answer
    x = 7,865.39

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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.