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Finding the Fourth Proportional to 7,674.23, 10,585.24 and 4,686.24

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Solution

The fourth proportional to 7,674.23, 10,585.24 and 4,686.24 is: 6,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.23 : 10,585.24 = 4,686.24 : x
  2. Step 2: Convert to fraction form
    7,674.23/10,585.24 = 4,686.24/x
  3. Step 3: Cross multiply
    7,674.23x = 10,585.24 × 4,686.24
  4. Step 4: Simplify right side
    7,674.23x = 49,604,975.10
  5. Step 5: Solve for x
    x = 49,604,975.10/7,674.23
  6. Step 6: Final answer
    x = 6,463.84

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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.