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Finding the Fourth Proportional to 11,770.64, 16,242.52 and 6,465.72

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Solution

The fourth proportional to 11,770.64, 16,242.52 and 6,465.72 is: 8,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.64 : 16,242.52 = 6,465.72 : x
  2. Step 2: Convert to fraction form
    11,770.64/16,242.52 = 6,465.72/x
  3. Step 3: Cross multiply
    11,770.64x = 16,242.52 × 6,465.72
  4. Step 4: Simplify right side
    11,770.64x = 105,019,586.41
  5. Step 5: Solve for x
    x = 105,019,586.41/11,770.64
  6. Step 6: Final answer
    x = 8,922.16

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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.