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Finding the Fourth Proportional to 7,257.65, 10,020.50 and 4,871.20

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Solution

The fourth proportional to 7,257.65, 10,020.50 and 4,871.20 is: 6,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.65 : 10,020.50 = 4,871.20 : x
  2. Step 2: Convert to fraction form
    7,257.65/10,020.50 = 4,871.20/x
  3. Step 3: Cross multiply
    7,257.65x = 10,020.50 × 4,871.20
  4. Step 4: Simplify right side
    7,257.65x = 48,811,885.31
  5. Step 5: Solve for x
    x = 48,811,885.31/7,257.65
  6. Step 6: Final answer
    x = 6,725.58

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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.