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Finding the Fourth Proportional to 11,212.88, 15,473.58 and 6,497.60

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Solution

The fourth proportional to 11,212.88, 15,473.58 and 6,497.60 is: 8,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.88 : 15,473.58 = 6,497.60 : x
  2. Step 2: Convert to fraction form
    11,212.88/15,473.58 = 6,497.60/x
  3. Step 3: Cross multiply
    11,212.88x = 15,473.58 × 6,497.60
  4. Step 4: Simplify right side
    11,212.88x = 100,541,133.41
  5. Step 5: Solve for x
    x = 100,541,133.41/11,212.88
  6. Step 6: Final answer
    x = 8,966.58

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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.