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Finding the Fourth Proportional to 7,384.46, 10,203.52 and 5,904.58

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Solution

The fourth proportional to 7,384.46, 10,203.52 and 5,904.58 is: 8,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.46 : 10,203.52 = 5,904.58 : x
  2. Step 2: Convert to fraction form
    7,384.46/10,203.52 = 5,904.58/x
  3. Step 3: Cross multiply
    7,384.46x = 10,203.52 × 5,904.58
  4. Step 4: Simplify right side
    7,384.46x = 60,247,500.12
  5. Step 5: Solve for x
    x = 60,247,500.12/7,384.46
  6. Step 6: Final answer
    x = 8,158.69

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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.