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Finding the Fourth Proportional to 10,596.68, 14,623.14 and 5,880.84

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Solution

The fourth proportional to 10,596.68, 14,623.14 and 5,880.84 is: 8,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.68 : 14,623.14 = 5,880.84 : x
  2. Step 2: Convert to fraction form
    10,596.68/14,623.14 = 5,880.84/x
  3. Step 3: Cross multiply
    10,596.68x = 14,623.14 × 5,880.84
  4. Step 4: Simplify right side
    10,596.68x = 85,996,346.64
  5. Step 5: Solve for x
    x = 85,996,346.64/10,596.68
  6. Step 6: Final answer
    x = 8,115.40

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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.