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Finding the Fourth Proportional to 11,700.47, 17,558.90 and 6,763.31

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Solution

The fourth proportional to 11,700.47, 17,558.90 and 6,763.31 is: 10,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.47 : 17,558.90 = 6,763.31 : x
  2. Step 2: Convert to fraction form
    11,700.47/17,558.90 = 6,763.31/x
  3. Step 3: Cross multiply
    11,700.47x = 17,558.90 × 6,763.31
  4. Step 4: Simplify right side
    11,700.47x = 118,756,162.35
  5. Step 5: Solve for x
    x = 118,756,162.35/11,700.47
  6. Step 6: Final answer
    x = 10,149.70

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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.