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Finding the Fourth Proportional to 10,841.64, 14,959.44 and 6,859.96

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Solution

The fourth proportional to 10,841.64, 14,959.44 and 6,859.96 is: 9,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.64 : 14,959.44 = 6,859.96 : x
  2. Step 2: Convert to fraction form
    10,841.64/14,959.44 = 6,859.96/x
  3. Step 3: Cross multiply
    10,841.64x = 14,959.44 × 6,859.96
  4. Step 4: Simplify right side
    10,841.64x = 102,621,160.02
  5. Step 5: Solve for x
    x = 102,621,160.02/10,841.64
  6. Step 6: Final answer
    x = 9,465.46

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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.