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Finding the Fourth Proportional to 10,596.30, 14,622.28 and 5,880.25

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Solution

The fourth proportional to 10,596.30, 14,622.28 and 5,880.25 is: 8,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.30 : 14,622.28 = 5,880.25 : x
  2. Step 2: Convert to fraction form
    10,596.30/14,622.28 = 5,880.25/x
  3. Step 3: Cross multiply
    10,596.30x = 14,622.28 × 5,880.25
  4. Step 4: Simplify right side
    10,596.30x = 85,982,661.97
  5. Step 5: Solve for x
    x = 85,982,661.97/10,596.30
  6. Step 6: Final answer
    x = 8,114.40

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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.