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Finding the Fourth Proportional to 10,758.30, 16,137.45 and 9,419.10

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Solution

The fourth proportional to 10,758.30, 16,137.45 and 9,419.10 is: 14,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.30 : 16,137.45 = 9,419.10 : x
  2. Step 2: Convert to fraction form
    10,758.30/16,137.45 = 9,419.10/x
  3. Step 3: Cross multiply
    10,758.30x = 16,137.45 × 9,419.10
  4. Step 4: Simplify right side
    10,758.30x = 152,000,255.30
  5. Step 5: Solve for x
    x = 152,000,255.30/10,758.30
  6. Step 6: Final answer
    x = 14,128.65

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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.