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Finding the Fourth Proportional to 10,656.25, 14,705.49 and 5,940.52

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Solution

The fourth proportional to 10,656.25, 14,705.49 and 5,940.52 is: 8,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.25 : 14,705.49 = 5,940.52 : x
  2. Step 2: Convert to fraction form
    10,656.25/14,705.49 = 5,940.52/x
  3. Step 3: Cross multiply
    10,656.25x = 14,705.49 × 5,940.52
  4. Step 4: Simplify right side
    10,656.25x = 87,358,257.45
  5. Step 5: Solve for x
    x = 87,358,257.45/10,656.25
  6. Step 6: Final answer
    x = 8,197.84

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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.