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Finding the Fourth Proportional to 10,335.12, 14,238.36 and 7,185.84

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Solution

The fourth proportional to 10,335.12, 14,238.36 and 7,185.84 is: 9,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.12 : 14,238.36 = 7,185.84 : x
  2. Step 2: Convert to fraction form
    10,335.12/14,238.36 = 7,185.84/x
  3. Step 3: Cross multiply
    10,335.12x = 14,238.36 × 7,185.84
  4. Step 4: Simplify right side
    10,335.12x = 102,314,576.82
  5. Step 5: Solve for x
    x = 102,314,576.82/10,335.12
  6. Step 6: Final answer
    x = 9,899.70

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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.