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Finding the Fourth Proportional to 7,714.51, 10,645.92 and 4,357.26

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Solution

The fourth proportional to 7,714.51, 10,645.92 and 4,357.26 is: 6,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.51 : 10,645.92 = 4,357.26 : x
  2. Step 2: Convert to fraction form
    7,714.51/10,645.92 = 4,357.26/x
  3. Step 3: Cross multiply
    7,714.51x = 10,645.92 × 4,357.26
  4. Step 4: Simplify right side
    7,714.51x = 46,387,041.38
  5. Step 5: Solve for x
    x = 46,387,041.38/7,714.51
  6. Step 6: Final answer
    x = 6,012.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.