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Finding the Fourth Proportional to 7,276.88, 10,046.76 and 4,484

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Solution

The fourth proportional to 7,276.88, 10,046.76 and 4,484 is: 6,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.88 : 10,046.76 = 4,484 : x
  2. Step 2: Convert to fraction form
    7,276.88/10,046.76 = 4,484/x
  3. Step 3: Cross multiply
    7,276.88x = 10,046.76 × 4,484
  4. Step 4: Simplify right side
    7,276.88x = 45,049,671.84
  5. Step 5: Solve for x
    x = 45,049,671.84/7,276.88
  6. Step 6: Final answer
    x = 6,190.79

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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.