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Finding the Fourth Proportional to 10,560.68, 14,573.38 and 5,845.16

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Solution

The fourth proportional to 10,560.68, 14,573.38 and 5,845.16 is: 8,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.68 : 14,573.38 = 5,845.16 : x
  2. Step 2: Convert to fraction form
    10,560.68/14,573.38 = 5,845.16/x
  3. Step 3: Cross multiply
    10,560.68x = 14,573.38 × 5,845.16
  4. Step 4: Simplify right side
    10,560.68x = 85,183,737.84
  5. Step 5: Solve for x
    x = 85,183,737.84/10,560.68
  6. Step 6: Final answer
    x = 8,066.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.