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Finding the Fourth Proportional to 7,662.30, 10,570.50 and 4,827.71

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Solution

The fourth proportional to 7,662.30, 10,570.50 and 4,827.71 is: 6,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.30 : 10,570.50 = 4,827.71 : x
  2. Step 2: Convert to fraction form
    7,662.30/10,570.50 = 4,827.71/x
  3. Step 3: Cross multiply
    7,662.30x = 10,570.50 × 4,827.71
  4. Step 4: Simplify right side
    7,662.30x = 51,031,308.56
  5. Step 5: Solve for x
    x = 51,031,308.56/7,662.30
  6. Step 6: Final answer
    x = 6,660.05

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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.