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Finding the Fourth Proportional to 11,770.36, 16,242.82 and 6,465.16

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Solution

The fourth proportional to 11,770.36, 16,242.82 and 6,465.16 is: 8,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.36 : 16,242.82 = 6,465.16 : x
  2. Step 2: Convert to fraction form
    11,770.36/16,242.82 = 6,465.16/x
  3. Step 3: Cross multiply
    11,770.36x = 16,242.82 × 6,465.16
  4. Step 4: Simplify right side
    11,770.36x = 105,012,430.15
  5. Step 5: Solve for x
    x = 105,012,430.15/11,770.36
  6. Step 6: Final answer
    x = 8,921.77

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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.