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Finding the Fourth Proportional to 11,588.25, 15,991.16 and 6,552.17

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Solution

The fourth proportional to 11,588.25, 15,991.16 and 6,552.17 is: 9,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.25 : 15,991.16 = 6,552.17 : x
  2. Step 2: Convert to fraction form
    11,588.25/15,991.16 = 6,552.17/x
  3. Step 3: Cross multiply
    11,588.25x = 15,991.16 × 6,552.17
  4. Step 4: Simplify right side
    11,588.25x = 104,776,686.10
  5. Step 5: Solve for x
    x = 104,776,686.10/11,588.25
  6. Step 6: Final answer
    x = 9,041.63

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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.