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Finding the Fourth Proportional to 7,631.10, 11,498.64 and 6,274.82

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Solution

The fourth proportional to 7,631.10, 11,498.64 and 6,274.82 is: 9,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.10 : 11,498.64 = 6,274.82 : x
  2. Step 2: Convert to fraction form
    7,631.10/11,498.64 = 6,274.82/x
  3. Step 3: Cross multiply
    7,631.10x = 11,498.64 × 6,274.82
  4. Step 4: Simplify right side
    7,631.10x = 72,151,838.75
  5. Step 5: Solve for x
    x = 72,151,838.75/7,631.10
  6. Step 6: Final answer
    x = 9,454.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.