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Finding the Fourth Proportional to 7,333, 10,120.08 and 4,539.04

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Solution

The fourth proportional to 7,333, 10,120.08 and 4,539.04 is: 6,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333 : 10,120.08 = 4,539.04 : x
  2. Step 2: Convert to fraction form
    7,333/10,120.08 = 4,539.04/x
  3. Step 3: Cross multiply
    7,333x = 10,120.08 × 4,539.04
  4. Step 4: Simplify right side
    7,333x = 45,935,447.92
  5. Step 5: Solve for x
    x = 45,935,447.92/7,333
  6. Step 6: Final answer
    x = 6,264.21

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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.