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Finding the Fourth Proportional to 27,330, 40,994.28 and 7,607.76

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Solution

The fourth proportional to 27,330, 40,994.28 and 7,607.76 is: 11,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,330 : 40,994.28 = 7,607.76 : x
  2. Step 2: Convert to fraction form
    27,330/40,994.28 = 7,607.76/x
  3. Step 3: Cross multiply
    27,330x = 40,994.28 × 7,607.76
  4. Step 4: Simplify right side
    27,330x = 311,874,643.61
  5. Step 5: Solve for x
    x = 311,874,643.61/27,330
  6. Step 6: Final answer
    x = 11,411.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.