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Finding the Fourth Proportional to 7,547.26, 11,321.40 and 2,000.54

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Solution

The fourth proportional to 7,547.26, 11,321.40 and 2,000.54 is: 3,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.26 : 11,321.40 = 2,000.54 : x
  2. Step 2: Convert to fraction form
    7,547.26/11,321.40 = 2,000.54/x
  3. Step 3: Cross multiply
    7,547.26x = 11,321.40 × 2,000.54
  4. Step 4: Simplify right side
    7,547.26x = 22,648,913.56
  5. Step 5: Solve for x
    x = 22,648,913.56/7,547.26
  6. Step 6: Final answer
    x = 3,000.95

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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.