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Finding the Fourth Proportional to 6,274.82, 8,653.28 and 4,780.10

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Solution

The fourth proportional to 6,274.82, 8,653.28 and 4,780.10 is: 6,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.82 : 8,653.28 = 4,780.10 : x
  2. Step 2: Convert to fraction form
    6,274.82/8,653.28 = 4,780.10/x
  3. Step 3: Cross multiply
    6,274.82x = 8,653.28 × 4,780.10
  4. Step 4: Simplify right side
    6,274.82x = 41,363,543.73
  5. Step 5: Solve for x
    x = 41,363,543.73/6,274.82
  6. Step 6: Final answer
    x = 6,591.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.