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Finding the Fourth Proportional to 10,375.38, 14,323.32 and 7,035.84

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Solution

The fourth proportional to 10,375.38, 14,323.32 and 7,035.84 is: 9,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.38 : 14,323.32 = 7,035.84 : x
  2. Step 2: Convert to fraction form
    10,375.38/14,323.32 = 7,035.84/x
  3. Step 3: Cross multiply
    10,375.38x = 14,323.32 × 7,035.84
  4. Step 4: Simplify right side
    10,375.38x = 100,776,587.79
  5. Step 5: Solve for x
    x = 100,776,587.79/10,375.38
  6. Step 6: Final answer
    x = 9,713.05

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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.