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Finding the Fourth Proportional to 12,426.56, 18,646.08 and 5,852

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Solution

The fourth proportional to 12,426.56, 18,646.08 and 5,852 is: 8,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.56 : 18,646.08 = 5,852 : x
  2. Step 2: Convert to fraction form
    12,426.56/18,646.08 = 5,852/x
  3. Step 3: Cross multiply
    12,426.56x = 18,646.08 × 5,852
  4. Step 4: Simplify right side
    12,426.56x = 109,116,860.16
  5. Step 5: Solve for x
    x = 109,116,860.16/12,426.56
  6. Step 6: Final answer
    x = 8,780.94

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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.