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Finding the Fourth Proportional to 10,532, 14,533.46 and 5,816.24

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Solution

The fourth proportional to 10,532, 14,533.46 and 5,816.24 is: 8,026.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532 : 14,533.46 = 5,816.24 : x
  2. Step 2: Convert to fraction form
    10,532/14,533.46 = 5,816.24/x
  3. Step 3: Cross multiply
    10,532x = 14,533.46 × 5,816.24
  4. Step 4: Simplify right side
    10,532x = 84,530,091.39
  5. Step 5: Solve for x
    x = 84,530,091.39/10,532
  6. Step 6: Final answer
    x = 8,026.02

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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.