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Finding the Fourth Proportional to 11,255.84, 15,533.60 and 6,780.99

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Solution

The fourth proportional to 11,255.84, 15,533.60 and 6,780.99 is: 9,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.84 : 15,533.60 = 6,780.99 : x
  2. Step 2: Convert to fraction form
    11,255.84/15,533.60 = 6,780.99/x
  3. Step 3: Cross multiply
    11,255.84x = 15,533.60 × 6,780.99
  4. Step 4: Simplify right side
    11,255.84x = 105,333,186.26
  5. Step 5: Solve for x
    x = 105,333,186.26/11,255.84
  6. Step 6: Final answer
    x = 9,358.09

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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.