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Finding the Fourth Proportional to 7,353.41, 10,148.16 and 4,209.53

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Solution

The fourth proportional to 7,353.41, 10,148.16 and 4,209.53 is: 5,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.41 : 10,148.16 = 4,209.53 : x
  2. Step 2: Convert to fraction form
    7,353.41/10,148.16 = 4,209.53/x
  3. Step 3: Cross multiply
    7,353.41x = 10,148.16 × 4,209.53
  4. Step 4: Simplify right side
    7,353.41x = 42,718,983.96
  5. Step 5: Solve for x
    x = 42,718,983.96/7,353.41
  6. Step 6: Final answer
    x = 5,809.41

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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.