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Finding the Fourth Proportional to 7,532.55, 11,299.50 and 1,985.82

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Solution

The fourth proportional to 7,532.55, 11,299.50 and 1,985.82 is: 2,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.55 : 11,299.50 = 1,985.82 : x
  2. Step 2: Convert to fraction form
    7,532.55/11,299.50 = 1,985.82/x
  3. Step 3: Cross multiply
    7,532.55x = 11,299.50 × 1,985.82
  4. Step 4: Simplify right side
    7,532.55x = 22,438,773.09
  5. Step 5: Solve for x
    x = 22,438,773.09/7,532.55
  6. Step 6: Final answer
    x = 2,978.91

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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.