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Finding the Fourth Proportional to 7,895.02, 11,842.54 and 2,051.58

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Solution

The fourth proportional to 7,895.02, 11,842.54 and 2,051.58 is: 3,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.02 : 11,842.54 = 2,051.58 : x
  2. Step 2: Convert to fraction form
    7,895.02/11,842.54 = 2,051.58/x
  3. Step 3: Cross multiply
    7,895.02x = 11,842.54 × 2,051.58
  4. Step 4: Simplify right side
    7,895.02x = 24,295,918.21
  5. Step 5: Solve for x
    x = 24,295,918.21/7,895.02
  6. Step 6: Final answer
    x = 3,077.37

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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.