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Finding the Fourth Proportional to 10,560.64, 14,573.28 and 5,844.84

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Solution

The fourth proportional to 10,560.64, 14,573.28 and 5,844.84 is: 8,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.64 : 14,573.28 = 5,844.84 : x
  2. Step 2: Convert to fraction form
    10,560.64/14,573.28 = 5,844.84/x
  3. Step 3: Cross multiply
    10,560.64x = 14,573.28 × 5,844.84
  4. Step 4: Simplify right side
    10,560.64x = 85,178,489.88
  5. Step 5: Solve for x
    x = 85,178,489.88/10,560.64
  6. Step 6: Final answer
    x = 8,065.66

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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.