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Finding the Fourth Proportional to 7,335, 10,122.94 and 4,023.64

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Solution

The fourth proportional to 7,335, 10,122.94 and 4,023.64 is: 5,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335 : 10,122.94 = 4,023.64 : x
  2. Step 2: Convert to fraction form
    7,335/10,122.94 = 4,023.64/x
  3. Step 3: Cross multiply
    7,335x = 10,122.94 × 4,023.64
  4. Step 4: Simplify right side
    7,335x = 40,731,066.30
  5. Step 5: Solve for x
    x = 40,731,066.30/7,335
  6. Step 6: Final answer
    x = 5,552.97

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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.