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Finding the Fourth Proportional to 11,764.93, 16,235.51 and 6,459.63

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Solution

The fourth proportional to 11,764.93, 16,235.51 and 6,459.63 is: 8,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.93 : 16,235.51 = 6,459.63 : x
  2. Step 2: Convert to fraction form
    11,764.93/16,235.51 = 6,459.63/x
  3. Step 3: Cross multiply
    11,764.93x = 16,235.51 × 6,459.63
  4. Step 4: Simplify right side
    11,764.93x = 104,875,387.46
  5. Step 5: Solve for x
    x = 104,875,387.46/11,764.93
  6. Step 6: Final answer
    x = 8,914.24

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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.