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Finding the Fourth Proportional to 10,482.10, 14,464.66 and 6,004.83

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Solution

The fourth proportional to 10,482.10, 14,464.66 and 6,004.83 is: 8,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.10 : 14,464.66 = 6,004.83 : x
  2. Step 2: Convert to fraction form
    10,482.10/14,464.66 = 6,004.83/x
  3. Step 3: Cross multiply
    10,482.10x = 14,464.66 × 6,004.83
  4. Step 4: Simplify right side
    10,482.10x = 86,857,824.31
  5. Step 5: Solve for x
    x = 86,857,824.31/10,482.10
  6. Step 6: Final answer
    x = 8,286.30

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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.