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Finding the Fourth Proportional to 10,431.75, 14,395.83 and 6,240

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Solution

The fourth proportional to 10,431.75, 14,395.83 and 6,240 is: 8,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.75 : 14,395.83 = 6,240 : x
  2. Step 2: Convert to fraction form
    10,431.75/14,395.83 = 6,240/x
  3. Step 3: Cross multiply
    10,431.75x = 14,395.83 × 6,240
  4. Step 4: Simplify right side
    10,431.75x = 89,829,979.20
  5. Step 5: Solve for x
    x = 89,829,979.20/10,431.75
  6. Step 6: Final answer
    x = 8,611.21

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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.