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Finding the Fourth Proportional to 7,645.60, 10,550.64 and 4,288.60

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Solution

The fourth proportional to 7,645.60, 10,550.64 and 4,288.60 is: 5,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.60 : 10,550.64 = 4,288.60 : x
  2. Step 2: Convert to fraction form
    7,645.60/10,550.64 = 4,288.60/x
  3. Step 3: Cross multiply
    7,645.60x = 10,550.64 × 4,288.60
  4. Step 4: Simplify right side
    7,645.60x = 45,247,474.70
  5. Step 5: Solve for x
    x = 45,247,474.70/7,645.60
  6. Step 6: Final answer
    x = 5,918.11

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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.