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Finding the Fourth Proportional to 7,670.59, 10,585.73 and 4,485.94

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Solution

The fourth proportional to 7,670.59, 10,585.73 and 4,485.94 is: 6,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.59 : 10,585.73 = 4,485.94 : x
  2. Step 2: Convert to fraction form
    7,670.59/10,585.73 = 4,485.94/x
  3. Step 3: Cross multiply
    7,670.59x = 10,585.73 × 4,485.94
  4. Step 4: Simplify right side
    7,670.59x = 47,486,949.64
  5. Step 5: Solve for x
    x = 47,486,949.64/7,670.59
  6. Step 6: Final answer
    x = 6,190.78

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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.