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Finding the Fourth Proportional to 7,384.64, 10,190.54 and 4,197.86

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Solution

The fourth proportional to 7,384.64, 10,190.54 and 4,197.86 is: 5,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.64 : 10,190.54 = 4,197.86 : x
  2. Step 2: Convert to fraction form
    7,384.64/10,190.54 = 4,197.86/x
  3. Step 3: Cross multiply
    7,384.64x = 10,190.54 × 4,197.86
  4. Step 4: Simplify right side
    7,384.64x = 42,778,460.24
  5. Step 5: Solve for x
    x = 42,778,460.24/7,384.64
  6. Step 6: Final answer
    x = 5,792.90

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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.