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Finding the Fourth Proportional to 11,188.95, 15,441.56 and 7,405.52

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Solution

The fourth proportional to 11,188.95, 15,441.56 and 7,405.52 is: 10,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.95 : 15,441.56 = 7,405.52 : x
  2. Step 2: Convert to fraction form
    11,188.95/15,441.56 = 7,405.52/x
  3. Step 3: Cross multiply
    11,188.95x = 15,441.56 × 7,405.52
  4. Step 4: Simplify right side
    11,188.95x = 114,352,667.18
  5. Step 5: Solve for x
    x = 114,352,667.18/11,188.95
  6. Step 6: Final answer
    x = 10,220.14

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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.