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Finding the Fourth Proportional to 10,323.83, 14,240.46 and 8,594.71

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Solution

The fourth proportional to 10,323.83, 14,240.46 and 8,594.71 is: 11,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.83 : 14,240.46 = 8,594.71 : x
  2. Step 2: Convert to fraction form
    10,323.83/14,240.46 = 8,594.71/x
  3. Step 3: Cross multiply
    10,323.83x = 14,240.46 × 8,594.71
  4. Step 4: Simplify right side
    10,323.83x = 122,392,623.97
  5. Step 5: Solve for x
    x = 122,392,623.97/10,323.83
  6. Step 6: Final answer
    x = 11,855.35

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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.