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Finding the Fourth Proportional to 10,842.70, 16,264.05 and 3,051.51

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Solution

The fourth proportional to 10,842.70, 16,264.05 and 3,051.51 is: 4,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.70 : 16,264.05 = 3,051.51 : x
  2. Step 2: Convert to fraction form
    10,842.70/16,264.05 = 3,051.51/x
  3. Step 3: Cross multiply
    10,842.70x = 16,264.05 × 3,051.51
  4. Step 4: Simplify right side
    10,842.70x = 49,629,903.59
  5. Step 5: Solve for x
    x = 49,629,903.59/10,842.70
  6. Step 6: Final answer
    x = 4,577.27

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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.