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Finding the Fourth Proportional to 8,442.73, 11,650.02 and 4,664.95

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Solution

The fourth proportional to 8,442.73, 11,650.02 and 4,664.95 is: 6,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.73 : 11,650.02 = 4,664.95 : x
  2. Step 2: Convert to fraction form
    8,442.73/11,650.02 = 4,664.95/x
  3. Step 3: Cross multiply
    8,442.73x = 11,650.02 × 4,664.95
  4. Step 4: Simplify right side
    8,442.73x = 54,346,693.71
  5. Step 5: Solve for x
    x = 54,346,693.71/8,442.73
  6. Step 6: Final answer
    x = 6,437.10

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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.