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Finding the Fourth Proportional to 7,714.33, 10,645.71 and 4,357.11

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Solution

The fourth proportional to 7,714.33, 10,645.71 and 4,357.11 is: 6,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.33 : 10,645.71 = 4,357.11 : x
  2. Step 2: Convert to fraction form
    7,714.33/10,645.71 = 4,357.11/x
  3. Step 3: Cross multiply
    7,714.33x = 10,645.71 × 4,357.11
  4. Step 4: Simplify right side
    7,714.33x = 46,384,529.50
  5. Step 5: Solve for x
    x = 46,384,529.50/7,714.33
  6. Step 6: Final answer
    x = 6,012.77

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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.