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Finding the Fourth Proportional to 10,606.62, 14,639.77 and 6,133.17

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Solution

The fourth proportional to 10,606.62, 14,639.77 and 6,133.17 is: 8,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.62 : 14,639.77 = 6,133.17 : x
  2. Step 2: Convert to fraction form
    10,606.62/14,639.77 = 6,133.17/x
  3. Step 3: Cross multiply
    10,606.62x = 14,639.77 × 6,133.17
  4. Step 4: Simplify right side
    10,606.62x = 89,788,198.17
  5. Step 5: Solve for x
    x = 89,788,198.17/10,606.62
  6. Step 6: Final answer
    x = 8,465.30

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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.