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Finding the Fourth Proportional to 10,449.47, 15,679.59 and 6,941.90

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Solution

The fourth proportional to 10,449.47, 15,679.59 and 6,941.90 is: 10,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.47 : 15,679.59 = 6,941.90 : x
  2. Step 2: Convert to fraction form
    10,449.47/15,679.59 = 6,941.90/x
  3. Step 3: Cross multiply
    10,449.47x = 15,679.59 × 6,941.90
  4. Step 4: Simplify right side
    10,449.47x = 108,846,145.82
  5. Step 5: Solve for x
    x = 108,846,145.82/10,449.47
  6. Step 6: Final answer
    x = 10,416.43

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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.