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Finding the Fourth Proportional to 7,714.77, 11,572.69 and 3,818.13

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Solution

The fourth proportional to 7,714.77, 11,572.69 and 3,818.13 is: 5,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.77 : 11,572.69 = 3,818.13 : x
  2. Step 2: Convert to fraction form
    7,714.77/11,572.69 = 3,818.13/x
  3. Step 3: Cross multiply
    7,714.77x = 11,572.69 × 3,818.13
  4. Step 4: Simplify right side
    7,714.77x = 44,186,034.87
  5. Step 5: Solve for x
    x = 44,186,034.87/7,714.77
  6. Step 6: Final answer
    x = 5,727.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.