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Finding the Fourth Proportional to 10,046.64, 13,864.72 and 6,066.96

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Solution

The fourth proportional to 10,046.64, 13,864.72 and 6,066.96 is: 8,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.64 : 13,864.72 = 6,066.96 : x
  2. Step 2: Convert to fraction form
    10,046.64/13,864.72 = 6,066.96/x
  3. Step 3: Cross multiply
    10,046.64x = 13,864.72 × 6,066.96
  4. Step 4: Simplify right side
    10,046.64x = 84,116,701.65
  5. Step 5: Solve for x
    x = 84,116,701.65/10,046.64
  6. Step 6: Final answer
    x = 8,372.62

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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.