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Finding the Fourth Proportional to 7,403.76, 11,094.12 and 4,662

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Solution

The fourth proportional to 7,403.76, 11,094.12 and 4,662 is: 6,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.76 : 11,094.12 = 4,662 : x
  2. Step 2: Convert to fraction form
    7,403.76/11,094.12 = 4,662/x
  3. Step 3: Cross multiply
    7,403.76x = 11,094.12 × 4,662
  4. Step 4: Simplify right side
    7,403.76x = 51,720,787.44
  5. Step 5: Solve for x
    x = 51,720,787.44/7,403.76
  6. Step 6: Final answer
    x = 6,985.75

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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.