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Finding the Fourth Proportional to 10,596.04, 14,622.51 and 5,880.22

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Solution

The fourth proportional to 10,596.04, 14,622.51 and 5,880.22 is: 8,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.04 : 14,622.51 = 5,880.22 : x
  2. Step 2: Convert to fraction form
    10,596.04/14,622.51 = 5,880.22/x
  3. Step 3: Cross multiply
    10,596.04x = 14,622.51 × 5,880.22
  4. Step 4: Simplify right side
    10,596.04x = 85,983,575.75
  5. Step 5: Solve for x
    x = 85,983,575.75/10,596.04
  6. Step 6: Final answer
    x = 8,114.69

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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.