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Finding the Fourth Proportional to 11,495.49, 15,864.15 and 6,460.68

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Solution

The fourth proportional to 11,495.49, 15,864.15 and 6,460.68 is: 8,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.49 : 15,864.15 = 6,460.68 : x
  2. Step 2: Convert to fraction form
    11,495.49/15,864.15 = 6,460.68/x
  3. Step 3: Cross multiply
    11,495.49x = 15,864.15 × 6,460.68
  4. Step 4: Simplify right side
    11,495.49x = 102,493,196.62
  5. Step 5: Solve for x
    x = 102,493,196.62/11,495.49
  6. Step 6: Final answer
    x = 8,915.95

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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.