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Finding the Fourth Proportional to 11,770.59, 16,242.62 and 6,465.63

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Solution

The fourth proportional to 11,770.59, 16,242.62 and 6,465.63 is: 8,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.59 : 16,242.62 = 6,465.63 : x
  2. Step 2: Convert to fraction form
    11,770.59/16,242.62 = 6,465.63/x
  3. Step 3: Cross multiply
    11,770.59x = 16,242.62 × 6,465.63
  4. Step 4: Simplify right side
    11,770.59x = 105,018,738.82
  5. Step 5: Solve for x
    x = 105,018,738.82/11,770.59
  6. Step 6: Final answer
    x = 8,922.13

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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.