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Finding the Fourth Proportional to 10,348.43, 14,282.15 and 7,703.37

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Solution

The fourth proportional to 10,348.43, 14,282.15 and 7,703.37 is: 10,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.43 : 14,282.15 = 7,703.37 : x
  2. Step 2: Convert to fraction form
    10,348.43/14,282.15 = 7,703.37/x
  3. Step 3: Cross multiply
    10,348.43x = 14,282.15 × 7,703.37
  4. Step 4: Simplify right side
    10,348.43x = 110,020,647.33
  5. Step 5: Solve for x
    x = 110,020,647.33/10,348.43
  6. Step 6: Final answer
    x = 10,631.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.