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Finding the Fourth Proportional to 7,714.35, 10,645.75 and 4,177.48

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Solution

The fourth proportional to 7,714.35, 10,645.75 and 4,177.48 is: 5,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.35 : 10,645.75 = 4,177.48 : x
  2. Step 2: Convert to fraction form
    7,714.35/10,645.75 = 4,177.48/x
  3. Step 3: Cross multiply
    7,714.35x = 10,645.75 × 4,177.48
  4. Step 4: Simplify right side
    7,714.35x = 44,472,407.71
  5. Step 5: Solve for x
    x = 44,472,407.71/7,714.35
  6. Step 6: Final answer
    x = 5,764.89

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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.