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Finding the Fourth Proportional to 7,604.60, 11,377.74 and 5,665.46

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Solution

The fourth proportional to 7,604.60, 11,377.74 and 5,665.46 is: 8,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.60 : 11,377.74 = 5,665.46 : x
  2. Step 2: Convert to fraction form
    7,604.60/11,377.74 = 5,665.46/x
  3. Step 3: Cross multiply
    7,604.60x = 11,377.74 × 5,665.46
  4. Step 4: Simplify right side
    7,604.60x = 64,460,130.86
  5. Step 5: Solve for x
    x = 64,460,130.86/7,604.60
  6. Step 6: Final answer
    x = 8,476.47

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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.