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Finding the Fourth Proportional to 11,465.77, 15,825.58 and 6,991.99

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Solution

The fourth proportional to 11,465.77, 15,825.58 and 6,991.99 is: 9,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.77 : 15,825.58 = 6,991.99 : x
  2. Step 2: Convert to fraction form
    11,465.77/15,825.58 = 6,991.99/x
  3. Step 3: Cross multiply
    11,465.77x = 15,825.58 × 6,991.99
  4. Step 4: Simplify right side
    11,465.77x = 110,652,297.10
  5. Step 5: Solve for x
    x = 110,652,297.10/11,465.77
  6. Step 6: Final answer
    x = 9,650.66

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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.