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Finding the Fourth Proportional to 11,532.54, 15,915.75 and 6,497.31

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Solution

The fourth proportional to 11,532.54, 15,915.75 and 6,497.31 is: 8,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.54 : 15,915.75 = 6,497.31 : x
  2. Step 2: Convert to fraction form
    11,532.54/15,915.75 = 6,497.31/x
  3. Step 3: Cross multiply
    11,532.54x = 15,915.75 × 6,497.31
  4. Step 4: Simplify right side
    11,532.54x = 103,409,561.63
  5. Step 5: Solve for x
    x = 103,409,561.63/11,532.54
  6. Step 6: Final answer
    x = 8,966.76

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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.