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Finding the Fourth Proportional to 10,596.40, 14,623.07 and 5,880.68

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Solution

The fourth proportional to 10,596.40, 14,623.07 and 5,880.68 is: 8,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.40 : 14,623.07 = 5,880.68 : x
  2. Step 2: Convert to fraction form
    10,596.40/14,623.07 = 5,880.68/x
  3. Step 3: Cross multiply
    10,596.40x = 14,623.07 × 5,880.68
  4. Step 4: Simplify right side
    10,596.40x = 85,993,569.66
  5. Step 5: Solve for x
    x = 85,993,569.66/10,596.40
  6. Step 6: Final answer
    x = 8,115.36

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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.