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Finding the Fourth Proportional to 10,482.46, 14,464.62 and 6,004.99

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Solution

The fourth proportional to 10,482.46, 14,464.62 and 6,004.99 is: 8,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.46 : 14,464.62 = 6,004.99 : x
  2. Step 2: Convert to fraction form
    10,482.46/14,464.62 = 6,004.99/x
  3. Step 3: Cross multiply
    10,482.46x = 14,464.62 × 6,004.99
  4. Step 4: Simplify right side
    10,482.46x = 86,859,898.45
  5. Step 5: Solve for x
    x = 86,859,898.45/10,482.46
  6. Step 6: Final answer
    x = 8,286.21

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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.