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Finding the Fourth Proportional to 10,596.80, 14,624.88 and 5,882.60

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Solution

The fourth proportional to 10,596.80, 14,624.88 and 5,882.60 is: 8,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.80 : 14,624.88 = 5,882.60 : x
  2. Step 2: Convert to fraction form
    10,596.80/14,624.88 = 5,882.60/x
  3. Step 3: Cross multiply
    10,596.80x = 14,624.88 × 5,882.60
  4. Step 4: Simplify right side
    10,596.80x = 86,032,319.09
  5. Step 5: Solve for x
    x = 86,032,319.09/10,596.80
  6. Step 6: Final answer
    x = 8,118.71

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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.