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Finding the Fourth Proportional to 7,709.60, 10,639.26 and 4,352.56

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Solution

The fourth proportional to 7,709.60, 10,639.26 and 4,352.56 is: 6,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.60 : 10,639.26 = 4,352.56 : x
  2. Step 2: Convert to fraction form
    7,709.60/10,639.26 = 4,352.56/x
  3. Step 3: Cross multiply
    7,709.60x = 10,639.26 × 4,352.56
  4. Step 4: Simplify right side
    7,709.60x = 46,308,017.51
  5. Step 5: Solve for x
    x = 46,308,017.51/7,709.60
  6. Step 6: Final answer
    x = 6,006.54

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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.