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Finding the Fourth Proportional to 7,532.30, 11,298.45 and 3,644.30

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Solution

The fourth proportional to 7,532.30, 11,298.45 and 3,644.30 is: 5,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.30 : 11,298.45 = 3,644.30 : x
  2. Step 2: Convert to fraction form
    7,532.30/11,298.45 = 3,644.30/x
  3. Step 3: Cross multiply
    7,532.30x = 11,298.45 × 3,644.30
  4. Step 4: Simplify right side
    7,532.30x = 41,174,941.34
  5. Step 5: Solve for x
    x = 41,174,941.34/7,532.30
  6. Step 6: Final answer
    x = 5,466.45

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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.