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Finding the Fourth Proportional to 7,714.32, 10,639.84 and 5,597.84

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Solution

The fourth proportional to 7,714.32, 10,639.84 and 5,597.84 is: 7,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.32 : 10,639.84 = 5,597.84 : x
  2. Step 2: Convert to fraction form
    7,714.32/10,639.84 = 5,597.84/x
  3. Step 3: Cross multiply
    7,714.32x = 10,639.84 × 5,597.84
  4. Step 4: Simplify right side
    7,714.32x = 59,560,121.95
  5. Step 5: Solve for x
    x = 59,560,121.95/7,714.32
  6. Step 6: Final answer
    x = 7,720.72

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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.