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Finding the Fourth Proportional to 10,892.10, 16,343.10 and 6,458.52

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Solution

The fourth proportional to 10,892.10, 16,343.10 and 6,458.52 is: 9,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.10 : 16,343.10 = 6,458.52 : x
  2. Step 2: Convert to fraction form
    10,892.10/16,343.10 = 6,458.52/x
  3. Step 3: Cross multiply
    10,892.10x = 16,343.10 × 6,458.52
  4. Step 4: Simplify right side
    10,892.10x = 105,552,238.21
  5. Step 5: Solve for x
    x = 105,552,238.21/10,892.10
  6. Step 6: Final answer
    x = 9,690.72

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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.