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Finding the Fourth Proportional to 7,378.58, 10,172.49 and 7,149.26

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Solution

The fourth proportional to 7,378.58, 10,172.49 and 7,149.26 is: 9,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.58 : 10,172.49 = 7,149.26 : x
  2. Step 2: Convert to fraction form
    7,378.58/10,172.49 = 7,149.26/x
  3. Step 3: Cross multiply
    7,378.58x = 10,172.49 × 7,149.26
  4. Step 4: Simplify right side
    7,378.58x = 72,725,775.86
  5. Step 5: Solve for x
    x = 72,725,775.86/7,378.58
  6. Step 6: Final answer
    x = 9,856.34

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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.