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Finding the Fourth Proportional to 10,464.83, 14,435.06 and 6,213.01

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Solution

The fourth proportional to 10,464.83, 14,435.06 and 6,213.01 is: 8,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.83 : 14,435.06 = 6,213.01 : x
  2. Step 2: Convert to fraction form
    10,464.83/14,435.06 = 6,213.01/x
  3. Step 3: Cross multiply
    10,464.83x = 14,435.06 × 6,213.01
  4. Step 4: Simplify right side
    10,464.83x = 89,685,099.96
  5. Step 5: Solve for x
    x = 89,685,099.96/10,464.83
  6. Step 6: Final answer
    x = 8,570.14

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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.