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Finding the Fourth Proportional to 7,633.76, 11,443.08 and 4,298.12

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Solution

The fourth proportional to 7,633.76, 11,443.08 and 4,298.12 is: 6,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.76 : 11,443.08 = 4,298.12 : x
  2. Step 2: Convert to fraction form
    7,633.76/11,443.08 = 4,298.12/x
  3. Step 3: Cross multiply
    7,633.76x = 11,443.08 × 4,298.12
  4. Step 4: Simplify right side
    7,633.76x = 49,183,731.01
  5. Step 5: Solve for x
    x = 49,183,731.01/7,633.76
  6. Step 6: Final answer
    x = 6,442.92

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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.