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Finding the Fourth Proportional to 11,486.16, 15,850.64 and 6,450.80

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Solution

The fourth proportional to 11,486.16, 15,850.64 and 6,450.80 is: 8,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.16 : 15,850.64 = 6,450.80 : x
  2. Step 2: Convert to fraction form
    11,486.16/15,850.64 = 6,450.80/x
  3. Step 3: Cross multiply
    11,486.16x = 15,850.64 × 6,450.80
  4. Step 4: Simplify right side
    11,486.16x = 102,249,308.51
  5. Step 5: Solve for x
    x = 102,249,308.51/11,486.16
  6. Step 6: Final answer
    x = 8,901.96

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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.