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Finding the Fourth Proportional to 10,005.96, 13,804.20 and 6,467.88

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Solution

The fourth proportional to 10,005.96, 13,804.20 and 6,467.88 is: 8,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.96 : 13,804.20 = 6,467.88 : x
  2. Step 2: Convert to fraction form
    10,005.96/13,804.20 = 6,467.88/x
  3. Step 3: Cross multiply
    10,005.96x = 13,804.20 × 6,467.88
  4. Step 4: Simplify right side
    10,005.96x = 89,283,909.10
  5. Step 5: Solve for x
    x = 89,283,909.10/10,005.96
  6. Step 6: Final answer
    x = 8,923.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.