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Finding the Fourth Proportional to 7,384.42, 10,187.95 and 4,733.29

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Solution

The fourth proportional to 7,384.42, 10,187.95 and 4,733.29 is: 6,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.42 : 10,187.95 = 4,733.29 : x
  2. Step 2: Convert to fraction form
    7,384.42/10,187.95 = 4,733.29/x
  3. Step 3: Cross multiply
    7,384.42x = 10,187.95 × 4,733.29
  4. Step 4: Simplify right side
    7,384.42x = 48,222,521.86
  5. Step 5: Solve for x
    x = 48,222,521.86/7,384.42
  6. Step 6: Final answer
    x = 6,530.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.