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Finding the Fourth Proportional to 7,751.10, 11,625.84 and 4,051.83

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Solution

The fourth proportional to 7,751.10, 11,625.84 and 4,051.83 is: 6,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.10 : 11,625.84 = 4,051.83 : x
  2. Step 2: Convert to fraction form
    7,751.10/11,625.84 = 4,051.83/x
  3. Step 3: Cross multiply
    7,751.10x = 11,625.84 × 4,051.83
  4. Step 4: Simplify right side
    7,751.10x = 47,105,927.29
  5. Step 5: Solve for x
    x = 47,105,927.29/7,751.10
  6. Step 6: Final answer
    x = 6,077.32

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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.