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Finding the Fourth Proportional to 11,405.95, 15,735.87 and 7,155.20

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Solution

The fourth proportional to 11,405.95, 15,735.87 and 7,155.20 is: 9,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.95 : 15,735.87 = 7,155.20 : x
  2. Step 2: Convert to fraction form
    11,405.95/15,735.87 = 7,155.20/x
  3. Step 3: Cross multiply
    11,405.95x = 15,735.87 × 7,155.20
  4. Step 4: Simplify right side
    11,405.95x = 112,593,336.36
  5. Step 5: Solve for x
    x = 112,593,336.36/11,405.95
  6. Step 6: Final answer
    x = 9,871.46

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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.