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Finding the Fourth Proportional to 7,684.60, 10,604.46 and 4,700.56

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Solution

The fourth proportional to 7,684.60, 10,604.46 and 4,700.56 is: 6,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.60 : 10,604.46 = 4,700.56 : x
  2. Step 2: Convert to fraction form
    7,684.60/10,604.46 = 4,700.56/x
  3. Step 3: Cross multiply
    7,684.60x = 10,604.46 × 4,700.56
  4. Step 4: Simplify right side
    7,684.60x = 49,846,900.50
  5. Step 5: Solve for x
    x = 49,846,900.50/7,684.60
  6. Step 6: Final answer
    x = 6,486.60

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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.