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Finding the Fourth Proportional to 7,525.74, 10,384.67 and 4,167.70

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Solution

The fourth proportional to 7,525.74, 10,384.67 and 4,167.70 is: 5,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.74 : 10,384.67 = 4,167.70 : x
  2. Step 2: Convert to fraction form
    7,525.74/10,384.67 = 4,167.70/x
  3. Step 3: Cross multiply
    7,525.74x = 10,384.67 × 4,167.70
  4. Step 4: Simplify right side
    7,525.74x = 43,280,232.03
  5. Step 5: Solve for x
    x = 43,280,232.03/7,525.74
  6. Step 6: Final answer
    x = 5,750.96

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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.