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Finding the Fourth Proportional to 8,232.93, 11,338.65 and 7,113.51

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Solution

The fourth proportional to 8,232.93, 11,338.65 and 7,113.51 is: 9,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.93 : 11,338.65 = 7,113.51 : x
  2. Step 2: Convert to fraction form
    8,232.93/11,338.65 = 7,113.51/x
  3. Step 3: Cross multiply
    8,232.93x = 11,338.65 × 7,113.51
  4. Step 4: Simplify right side
    8,232.93x = 80,657,600.16
  5. Step 5: Solve for x
    x = 80,657,600.16/8,232.93
  6. Step 6: Final answer
    x = 9,796.95

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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.