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Finding the Fourth Proportional to 10,574.39, 14,589.74 and 6,323.71

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Solution

The fourth proportional to 10,574.39, 14,589.74 and 6,323.71 is: 8,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.39 : 14,589.74 = 6,323.71 : x
  2. Step 2: Convert to fraction form
    10,574.39/14,589.74 = 6,323.71/x
  3. Step 3: Cross multiply
    10,574.39x = 14,589.74 × 6,323.71
  4. Step 4: Simplify right side
    10,574.39x = 92,261,253.12
  5. Step 5: Solve for x
    x = 92,261,253.12/10,574.39
  6. Step 6: Final answer
    x = 8,724.98

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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.