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Finding the Fourth Proportional to 10,524.51, 15,796.02 and 4,284.51

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Solution

The fourth proportional to 10,524.51, 15,796.02 and 4,284.51 is: 6,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.51 : 15,796.02 = 4,284.51 : x
  2. Step 2: Convert to fraction form
    10,524.51/15,796.02 = 4,284.51/x
  3. Step 3: Cross multiply
    10,524.51x = 15,796.02 × 4,284.51
  4. Step 4: Simplify right side
    10,524.51x = 67,678,205.65
  5. Step 5: Solve for x
    x = 67,678,205.65/10,524.51
  6. Step 6: Final answer
    x = 6,430.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.