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Finding the Fourth Proportional to 10,997.64, 16,492.40 and 4,758.56

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Solution

The fourth proportional to 10,997.64, 16,492.40 and 4,758.56 is: 7,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.64 : 16,492.40 = 4,758.56 : x
  2. Step 2: Convert to fraction form
    10,997.64/16,492.40 = 4,758.56/x
  3. Step 3: Cross multiply
    10,997.64x = 16,492.40 × 4,758.56
  4. Step 4: Simplify right side
    10,997.64x = 78,480,074.94
  5. Step 5: Solve for x
    x = 78,480,074.94/10,997.64
  6. Step 6: Final answer
    x = 7,136.08

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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.