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Finding the Fourth Proportional to 7,504.34, 11,255.78 and 2,574.47

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Solution

The fourth proportional to 7,504.34, 11,255.78 and 2,574.47 is: 3,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.34 : 11,255.78 = 2,574.47 : x
  2. Step 2: Convert to fraction form
    7,504.34/11,255.78 = 2,574.47/x
  3. Step 3: Cross multiply
    7,504.34x = 11,255.78 × 2,574.47
  4. Step 4: Simplify right side
    7,504.34x = 28,977,598.79
  5. Step 5: Solve for x
    x = 28,977,598.79/7,504.34
  6. Step 6: Final answer
    x = 3,861.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.