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Finding the Fourth Proportional to 10,735.64, 14,815.34 and 6,486.11

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Solution

The fourth proportional to 10,735.64, 14,815.34 and 6,486.11 is: 8,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.64 : 14,815.34 = 6,486.11 : x
  2. Step 2: Convert to fraction form
    10,735.64/14,815.34 = 6,486.11/x
  3. Step 3: Cross multiply
    10,735.64x = 14,815.34 × 6,486.11
  4. Step 4: Simplify right side
    10,735.64x = 96,093,929.54
  5. Step 5: Solve for x
    x = 96,093,929.54/10,735.64
  6. Step 6: Final answer
    x = 8,950.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.