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Finding the Fourth Proportional to 7,547.45, 11,321.18 and 3,164.91

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Solution

The fourth proportional to 7,547.45, 11,321.18 and 3,164.91 is: 4,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.45 : 11,321.18 = 3,164.91 : x
  2. Step 2: Convert to fraction form
    7,547.45/11,321.18 = 3,164.91/x
  3. Step 3: Cross multiply
    7,547.45x = 11,321.18 × 3,164.91
  4. Step 4: Simplify right side
    7,547.45x = 35,830,499.97
  5. Step 5: Solve for x
    x = 35,830,499.97/7,547.45
  6. Step 6: Final answer
    x = 4,747.37

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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.