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Finding the Fourth Proportional to 7,705.50, 10,635.03 and 4,393.50

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Solution

The fourth proportional to 7,705.50, 10,635.03 and 4,393.50 is: 6,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.50 : 10,635.03 = 4,393.50 : x
  2. Step 2: Convert to fraction form
    7,705.50/10,635.03 = 4,393.50/x
  3. Step 3: Cross multiply
    7,705.50x = 10,635.03 × 4,393.50
  4. Step 4: Simplify right side
    7,705.50x = 46,725,004.31
  5. Step 5: Solve for x
    x = 46,725,004.31/7,705.50
  6. Step 6: Final answer
    x = 6,063.85

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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.