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Finding the Fourth Proportional to 7,662.60, 11,471.58 and 5,696.93

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Solution

The fourth proportional to 7,662.60, 11,471.58 and 5,696.93 is: 8,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.60 : 11,471.58 = 5,696.93 : x
  2. Step 2: Convert to fraction form
    7,662.60/11,471.58 = 5,696.93/x
  3. Step 3: Cross multiply
    7,662.60x = 11,471.58 × 5,696.93
  4. Step 4: Simplify right side
    7,662.60x = 65,352,730.89
  5. Step 5: Solve for x
    x = 65,352,730.89/7,662.60
  6. Step 6: Final answer
    x = 8,528.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.