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Finding the Fourth Proportional to 11,337.06, 17,012.20 and 4,762.74

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Solution

The fourth proportional to 11,337.06, 17,012.20 and 4,762.74 is: 7,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.06 : 17,012.20 = 4,762.74 : x
  2. Step 2: Convert to fraction form
    11,337.06/17,012.20 = 4,762.74/x
  3. Step 3: Cross multiply
    11,337.06x = 17,012.20 × 4,762.74
  4. Step 4: Simplify right side
    11,337.06x = 81,024,685.43
  5. Step 5: Solve for x
    x = 81,024,685.43/11,337.06
  6. Step 6: Final answer
    x = 7,146.89

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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.