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Finding the Fourth Proportional to 10,622.88, 14,659.83 and 6,148.17

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Solution

The fourth proportional to 10,622.88, 14,659.83 and 6,148.17 is: 8,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.88 : 14,659.83 = 6,148.17 : x
  2. Step 2: Convert to fraction form
    10,622.88/14,659.83 = 6,148.17/x
  3. Step 3: Cross multiply
    10,622.88x = 14,659.83 × 6,148.17
  4. Step 4: Simplify right side
    10,622.88x = 90,131,127.01
  5. Step 5: Solve for x
    x = 90,131,127.01/10,622.88
  6. Step 6: Final answer
    x = 8,484.62

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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.