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Finding the Fourth Proportional to 10,858.44, 16,282.16 and 5,303.46

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Solution

The fourth proportional to 10,858.44, 16,282.16 and 5,303.46 is: 7,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.44 : 16,282.16 = 5,303.46 : x
  2. Step 2: Convert to fraction form
    10,858.44/16,282.16 = 5,303.46/x
  3. Step 3: Cross multiply
    10,858.44x = 16,282.16 × 5,303.46
  4. Step 4: Simplify right side
    10,858.44x = 86,351,784.27
  5. Step 5: Solve for x
    x = 86,351,784.27/10,858.44
  6. Step 6: Final answer
    x = 7,952.50

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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.