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Finding the Fourth Proportional to 11,765.60, 16,235.47 and 6,460.30

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Solution

The fourth proportional to 11,765.60, 16,235.47 and 6,460.30 is: 8,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.60 : 16,235.47 = 6,460.30 : x
  2. Step 2: Convert to fraction form
    11,765.60/16,235.47 = 6,460.30/x
  3. Step 3: Cross multiply
    11,765.60x = 16,235.47 × 6,460.30
  4. Step 4: Simplify right side
    11,765.60x = 104,886,006.84
  5. Step 5: Solve for x
    x = 104,886,006.84/11,765.60
  6. Step 6: Final answer
    x = 8,914.63

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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.