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Finding the Fourth Proportional to 7,660.64, 10,574.34 and 4,829.96

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Solution

The fourth proportional to 7,660.64, 10,574.34 and 4,829.96 is: 6,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.64 : 10,574.34 = 4,829.96 : x
  2. Step 2: Convert to fraction form
    7,660.64/10,574.34 = 4,829.96/x
  3. Step 3: Cross multiply
    7,660.64x = 10,574.34 × 4,829.96
  4. Step 4: Simplify right side
    7,660.64x = 51,073,639.23
  5. Step 5: Solve for x
    x = 51,073,639.23/7,660.64
  6. Step 6: Final answer
    x = 6,667.02

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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.