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Finding the Fourth Proportional to 7,384.39, 10,192.92 and 4,401.16

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Solution

The fourth proportional to 7,384.39, 10,192.92 and 4,401.16 is: 6,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.39 : 10,192.92 = 4,401.16 : x
  2. Step 2: Convert to fraction form
    7,384.39/10,192.92 = 4,401.16/x
  3. Step 3: Cross multiply
    7,384.39x = 10,192.92 × 4,401.16
  4. Step 4: Simplify right side
    7,384.39x = 44,860,671.79
  5. Step 5: Solve for x
    x = 44,860,671.79/7,384.39
  6. Step 6: Final answer
    x = 6,075.07

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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.