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Finding the Fourth Proportional to 10,178.68, 14,039.32 and 8,290.32

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Solution

The fourth proportional to 10,178.68, 14,039.32 and 8,290.32 is: 11,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.68 : 14,039.32 = 8,290.32 : x
  2. Step 2: Convert to fraction form
    10,178.68/14,039.32 = 8,290.32/x
  3. Step 3: Cross multiply
    10,178.68x = 14,039.32 × 8,290.32
  4. Step 4: Simplify right side
    10,178.68x = 116,390,455.38
  5. Step 5: Solve for x
    x = 116,390,455.38/10,178.68
  6. Step 6: Final answer
    x = 11,434.73

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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.