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Finding the Fourth Proportional to 7,156.32, 10,736.10 and 2,994

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Solution

The fourth proportional to 7,156.32, 10,736.10 and 2,994 is: 4,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.32 : 10,736.10 = 2,994 : x
  2. Step 2: Convert to fraction form
    7,156.32/10,736.10 = 2,994/x
  3. Step 3: Cross multiply
    7,156.32x = 10,736.10 × 2,994
  4. Step 4: Simplify right side
    7,156.32x = 32,143,883.40
  5. Step 5: Solve for x
    x = 32,143,883.40/7,156.32
  6. Step 6: Final answer
    x = 4,491.68

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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.