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Finding the Fourth Proportional to 10,505.42, 14,497.38 and 6,313.64

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Solution

The fourth proportional to 10,505.42, 14,497.38 and 6,313.64 is: 8,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.42 : 14,497.38 = 6,313.64 : x
  2. Step 2: Convert to fraction form
    10,505.42/14,497.38 = 6,313.64/x
  3. Step 3: Cross multiply
    10,505.42x = 14,497.38 × 6,313.64
  4. Step 4: Simplify right side
    10,505.42x = 91,531,238.26
  5. Step 5: Solve for x
    x = 91,531,238.26/10,505.42
  6. Step 6: Final answer
    x = 8,712.76

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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.