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Finding the Fourth Proportional to 10,707.66, 14,775.75 and 5,991.30

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Solution

The fourth proportional to 10,707.66, 14,775.75 and 5,991.30 is: 8,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.66 : 14,775.75 = 5,991.30 : x
  2. Step 2: Convert to fraction form
    10,707.66/14,775.75 = 5,991.30/x
  3. Step 3: Cross multiply
    10,707.66x = 14,775.75 × 5,991.30
  4. Step 4: Simplify right side
    10,707.66x = 88,525,950.98
  5. Step 5: Solve for x
    x = 88,525,950.98/10,707.66
  6. Step 6: Final answer
    x = 8,267.53

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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.