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Finding the Fourth Proportional to 11,587.68, 15,993.44 and 7,395.20

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Solution

The fourth proportional to 11,587.68, 15,993.44 and 7,395.20 is: 10,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.68 : 15,993.44 = 7,395.20 : x
  2. Step 2: Convert to fraction form
    11,587.68/15,993.44 = 7,395.20/x
  3. Step 3: Cross multiply
    11,587.68x = 15,993.44 × 7,395.20
  4. Step 4: Simplify right side
    11,587.68x = 118,274,687.49
  5. Step 5: Solve for x
    x = 118,274,687.49/11,587.68
  6. Step 6: Final answer
    x = 10,206.93

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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.