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Finding the Fourth Proportional to 11,495.84, 15,863.90 and 6,460.61

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Solution

The fourth proportional to 11,495.84, 15,863.90 and 6,460.61 is: 8,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.84 : 15,863.90 = 6,460.61 : x
  2. Step 2: Convert to fraction form
    11,495.84/15,863.90 = 6,460.61/x
  3. Step 3: Cross multiply
    11,495.84x = 15,863.90 × 6,460.61
  4. Step 4: Simplify right side
    11,495.84x = 102,490,359.36
  5. Step 5: Solve for x
    x = 102,490,359.36/11,495.84
  6. Step 6: Final answer
    x = 8,915.43

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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.