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Finding the Fourth Proportional to 11,567.77, 17,351.70 and 2,802.67

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Solution

The fourth proportional to 11,567.77, 17,351.70 and 2,802.67 is: 4,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.77 : 17,351.70 = 2,802.67 : x
  2. Step 2: Convert to fraction form
    11,567.77/17,351.70 = 2,802.67/x
  3. Step 3: Cross multiply
    11,567.77x = 17,351.70 × 2,802.67
  4. Step 4: Simplify right side
    11,567.77x = 48,631,089.04
  5. Step 5: Solve for x
    x = 48,631,089.04/11,567.77
  6. Step 6: Final answer
    x = 4,204.02

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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.