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Finding the Fourth Proportional to 10,372.32, 14,305.32 and 7,539.84

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Solution

The fourth proportional to 10,372.32, 14,305.32 and 7,539.84 is: 10,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.32 : 14,305.32 = 7,539.84 : x
  2. Step 2: Convert to fraction form
    10,372.32/14,305.32 = 7,539.84/x
  3. Step 3: Cross multiply
    10,372.32x = 14,305.32 × 7,539.84
  4. Step 4: Simplify right side
    10,372.32x = 107,859,823.95
  5. Step 5: Solve for x
    x = 107,859,823.95/10,372.32
  6. Step 6: Final answer
    x = 10,398.81

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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.