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Finding the Fourth Proportional to 7,349.70, 10,142.41 and 4,205.68

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Solution

The fourth proportional to 7,349.70, 10,142.41 and 4,205.68 is: 5,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.70 : 10,142.41 = 4,205.68 : x
  2. Step 2: Convert to fraction form
    7,349.70/10,142.41 = 4,205.68/x
  3. Step 3: Cross multiply
    7,349.70x = 10,142.41 × 4,205.68
  4. Step 4: Simplify right side
    7,349.70x = 42,655,730.89
  5. Step 5: Solve for x
    x = 42,655,730.89/7,349.70
  6. Step 6: Final answer
    x = 5,803.74

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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.