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Finding the Fourth Proportional to 11,496.35, 15,865.88 and 6,460.80

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Solution

The fourth proportional to 11,496.35, 15,865.88 and 6,460.80 is: 8,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.35 : 15,865.88 = 6,460.80 : x
  2. Step 2: Convert to fraction form
    11,496.35/15,865.88 = 6,460.80/x
  3. Step 3: Cross multiply
    11,496.35x = 15,865.88 × 6,460.80
  4. Step 4: Simplify right side
    11,496.35x = 102,506,245.20
  5. Step 5: Solve for x
    x = 102,506,245.20/11,496.35
  6. Step 6: Final answer
    x = 8,916.42

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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.