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Finding the Fourth Proportional to 10,634.64, 15,953.06 and 4,066.35

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Solution

The fourth proportional to 10,634.64, 15,953.06 and 4,066.35 is: 6,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.64 : 15,953.06 = 4,066.35 : x
  2. Step 2: Convert to fraction form
    10,634.64/15,953.06 = 4,066.35/x
  3. Step 3: Cross multiply
    10,634.64x = 15,953.06 × 4,066.35
  4. Step 4: Simplify right side
    10,634.64x = 64,870,725.53
  5. Step 5: Solve for x
    x = 64,870,725.53/10,634.64
  6. Step 6: Final answer
    x = 6,099.95

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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.