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Finding the Fourth Proportional to 7,342.53, 11,014.08 and 2,148.40

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Solution

The fourth proportional to 7,342.53, 11,014.08 and 2,148.40 is: 3,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.53 : 11,014.08 = 2,148.40 : x
  2. Step 2: Convert to fraction form
    7,342.53/11,014.08 = 2,148.40/x
  3. Step 3: Cross multiply
    7,342.53x = 11,014.08 × 2,148.40
  4. Step 4: Simplify right side
    7,342.53x = 23,662,649.47
  5. Step 5: Solve for x
    x = 23,662,649.47/7,342.53
  6. Step 6: Final answer
    x = 3,222.68

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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.