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Finding the Fourth Proportional to 10,312.34, 14,231.04 and 5,596.64

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Solution

The fourth proportional to 10,312.34, 14,231.04 and 5,596.64 is: 7,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.34 : 14,231.04 = 5,596.64 : x
  2. Step 2: Convert to fraction form
    10,312.34/14,231.04 = 5,596.64/x
  3. Step 3: Cross multiply
    10,312.34x = 14,231.04 × 5,596.64
  4. Step 4: Simplify right side
    10,312.34x = 79,646,007.71
  5. Step 5: Solve for x
    x = 79,646,007.71/10,312.34
  6. Step 6: Final answer
    x = 7,723.37

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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.