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Finding the Fourth Proportional to 11,804.18, 16,289.63 and 6,498.88

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Solution

The fourth proportional to 11,804.18, 16,289.63 and 6,498.88 is: 8,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.18 : 16,289.63 = 6,498.88 : x
  2. Step 2: Convert to fraction form
    11,804.18/16,289.63 = 6,498.88/x
  3. Step 3: Cross multiply
    11,804.18x = 16,289.63 × 6,498.88
  4. Step 4: Simplify right side
    11,804.18x = 105,864,350.61
  5. Step 5: Solve for x
    x = 105,864,350.61/11,804.18
  6. Step 6: Final answer
    x = 8,968.38

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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.