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Finding the Fourth Proportional to 10,758.72, 16,141.12 and 9,730.56

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Solution

The fourth proportional to 10,758.72, 16,141.12 and 9,730.56 is: 14,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.72 : 16,141.12 = 9,730.56 : x
  2. Step 2: Convert to fraction form
    10,758.72/16,141.12 = 9,730.56/x
  3. Step 3: Cross multiply
    10,758.72x = 16,141.12 × 9,730.56
  4. Step 4: Simplify right side
    10,758.72x = 157,062,136.63
  5. Step 5: Solve for x
    x = 157,062,136.63/10,758.72
  6. Step 6: Final answer
    x = 14,598.59

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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.