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Finding the Fourth Proportional to 7,714.25, 10,645.59 and 4,357

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Solution

The fourth proportional to 7,714.25, 10,645.59 and 4,357 is: 6,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.25 : 10,645.59 = 4,357 : x
  2. Step 2: Convert to fraction form
    7,714.25/10,645.59 = 4,357/x
  3. Step 3: Cross multiply
    7,714.25x = 10,645.59 × 4,357
  4. Step 4: Simplify right side
    7,714.25x = 46,382,835.63
  5. Step 5: Solve for x
    x = 46,382,835.63/7,714.25
  6. Step 6: Final answer
    x = 6,012.62

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