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Finding the Fourth Proportional to 10,653.49, 15,980.27 and 3,257.92

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Solution

The fourth proportional to 10,653.49, 15,980.27 and 3,257.92 is: 4,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.49 : 15,980.27 = 3,257.92 : x
  2. Step 2: Convert to fraction form
    10,653.49/15,980.27 = 3,257.92/x
  3. Step 3: Cross multiply
    10,653.49x = 15,980.27 × 3,257.92
  4. Step 4: Simplify right side
    10,653.49x = 52,062,441.24
  5. Step 5: Solve for x
    x = 52,062,441.24/10,653.49
  6. Step 6: Final answer
    x = 4,886.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.