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Finding the Fourth Proportional to 7,337.64, 10,124.28 and 4,193.76

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Solution

The fourth proportional to 7,337.64, 10,124.28 and 4,193.76 is: 5,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.64 : 10,124.28 = 4,193.76 : x
  2. Step 2: Convert to fraction form
    7,337.64/10,124.28 = 4,193.76/x
  3. Step 3: Cross multiply
    7,337.64x = 10,124.28 × 4,193.76
  4. Step 4: Simplify right side
    7,337.64x = 42,458,800.49
  5. Step 5: Solve for x
    x = 42,458,800.49/7,337.64
  6. Step 6: Final answer
    x = 5,786.44

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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.