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Finding the Fourth Proportional to 10,722.90, 14,797.60 and 6,007.17

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Solution

The fourth proportional to 10,722.90, 14,797.60 and 6,007.17 is: 8,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.90 : 14,797.60 = 6,007.17 : x
  2. Step 2: Convert to fraction form
    10,722.90/14,797.60 = 6,007.17/x
  3. Step 3: Cross multiply
    10,722.90x = 14,797.60 × 6,007.17
  4. Step 4: Simplify right side
    10,722.90x = 88,891,698.79
  5. Step 5: Solve for x
    x = 88,891,698.79/10,722.90
  6. Step 6: Final answer
    x = 8,289.89

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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.