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Finding the Fourth Proportional to 7,629.05, 10,522.65 and 7,001.61

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Solution

The fourth proportional to 7,629.05, 10,522.65 and 7,001.61 is: 9,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.05 : 10,522.65 = 7,001.61 : x
  2. Step 2: Convert to fraction form
    7,629.05/10,522.65 = 7,001.61/x
  3. Step 3: Cross multiply
    7,629.05x = 10,522.65 × 7,001.61
  4. Step 4: Simplify right side
    7,629.05x = 73,675,491.47
  5. Step 5: Solve for x
    x = 73,675,491.47/7,629.05
  6. Step 6: Final answer
    x = 9,657.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.