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Finding the Fourth Proportional to 10,486.32, 15,729.63 and 2,695.14

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Solution

The fourth proportional to 10,486.32, 15,729.63 and 2,695.14 is: 4,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.32 : 15,729.63 = 2,695.14 : x
  2. Step 2: Convert to fraction form
    10,486.32/15,729.63 = 2,695.14/x
  3. Step 3: Cross multiply
    10,486.32x = 15,729.63 × 2,695.14
  4. Step 4: Simplify right side
    10,486.32x = 42,393,555.00
  5. Step 5: Solve for x
    x = 42,393,555.00/10,486.32
  6. Step 6: Final answer
    x = 4,042.75

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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.