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Finding the Fourth Proportional to 11,533.13, 15,909.09 and 7,282.68

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Solution

The fourth proportional to 11,533.13, 15,909.09 and 7,282.68 is: 10,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.13 : 15,909.09 = 7,282.68 : x
  2. Step 2: Convert to fraction form
    11,533.13/15,909.09 = 7,282.68/x
  3. Step 3: Cross multiply
    11,533.13x = 15,909.09 × 7,282.68
  4. Step 4: Simplify right side
    11,533.13x = 115,860,811.56
  5. Step 5: Solve for x
    x = 115,860,811.56/11,533.13
  6. Step 6: Final answer
    x = 10,045.91

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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.