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Finding the Fourth Proportional to 7,719.64, 10,653.06 and 4,182.85

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Solution

The fourth proportional to 7,719.64, 10,653.06 and 4,182.85 is: 5,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.64 : 10,653.06 = 4,182.85 : x
  2. Step 2: Convert to fraction form
    7,719.64/10,653.06 = 4,182.85/x
  3. Step 3: Cross multiply
    7,719.64x = 10,653.06 × 4,182.85
  4. Step 4: Simplify right side
    7,719.64x = 44,560,098.76
  5. Step 5: Solve for x
    x = 44,560,098.76/7,719.64
  6. Step 6: Final answer
    x = 5,772.31

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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.