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Finding the Fourth Proportional to 11,478.82, 15,840.12 and 6,442.58

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Solution

The fourth proportional to 11,478.82, 15,840.12 and 6,442.58 is: 8,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.82 : 15,840.12 = 6,442.58 : x
  2. Step 2: Convert to fraction form
    11,478.82/15,840.12 = 6,442.58/x
  3. Step 3: Cross multiply
    11,478.82x = 15,840.12 × 6,442.58
  4. Step 4: Simplify right side
    11,478.82x = 102,051,240.31
  5. Step 5: Solve for x
    x = 102,051,240.31/11,478.82
  6. Step 6: Final answer
    x = 8,890.39

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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.