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Finding the Fourth Proportional to 10,365.18, 14,312.39 and 8,451.32

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Solution

The fourth proportional to 10,365.18, 14,312.39 and 8,451.32 is: 11,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.18 : 14,312.39 = 8,451.32 : x
  2. Step 2: Convert to fraction form
    10,365.18/14,312.39 = 8,451.32/x
  3. Step 3: Cross multiply
    10,365.18x = 14,312.39 × 8,451.32
  4. Step 4: Simplify right side
    10,365.18x = 120,958,474.04
  5. Step 5: Solve for x
    x = 120,958,474.04/10,365.18
  6. Step 6: Final answer
    x = 11,669.69

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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.