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Finding the Fourth Proportional to 7,633.17, 11,454.01 and 4,123.10

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Solution

The fourth proportional to 7,633.17, 11,454.01 and 4,123.10 is: 6,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.17 : 11,454.01 = 4,123.10 : x
  2. Step 2: Convert to fraction form
    7,633.17/11,454.01 = 4,123.10/x
  3. Step 3: Cross multiply
    7,633.17x = 11,454.01 × 4,123.10
  4. Step 4: Simplify right side
    7,633.17x = 47,226,046.96
  5. Step 5: Solve for x
    x = 47,226,046.96/7,633.17
  6. Step 6: Final answer
    x = 6,186.95

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