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Finding the Fourth Proportional to 10,512.32, 14,507.98 and 7,855.11

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Solution

The fourth proportional to 10,512.32, 14,507.98 and 7,855.11 is: 10,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.32 : 14,507.98 = 7,855.11 : x
  2. Step 2: Convert to fraction form
    10,512.32/14,507.98 = 7,855.11/x
  3. Step 3: Cross multiply
    10,512.32x = 14,507.98 × 7,855.11
  4. Step 4: Simplify right side
    10,512.32x = 113,961,759.14
  5. Step 5: Solve for x
    x = 113,961,759.14/10,512.32
  6. Step 6: Final answer
    x = 10,840.79

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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.