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Finding the Fourth Proportional to 11,262.35, 15,537.07 and 6,783.46

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Solution

The fourth proportional to 11,262.35, 15,537.07 and 6,783.46 is: 9,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.35 : 15,537.07 = 6,783.46 : x
  2. Step 2: Convert to fraction form
    11,262.35/15,537.07 = 6,783.46/x
  3. Step 3: Cross multiply
    11,262.35x = 15,537.07 × 6,783.46
  4. Step 4: Simplify right side
    11,262.35x = 105,395,092.86
  5. Step 5: Solve for x
    x = 105,395,092.86/11,262.35
  6. Step 6: Final answer
    x = 9,358.18

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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.