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Finding the Fourth Proportional to 10,056.11, 13,851.51 and 8,460.82

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Solution

The fourth proportional to 10,056.11, 13,851.51 and 8,460.82 is: 11,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.11 : 13,851.51 = 8,460.82 : x
  2. Step 2: Convert to fraction form
    10,056.11/13,851.51 = 8,460.82/x
  3. Step 3: Cross multiply
    10,056.11x = 13,851.51 × 8,460.82
  4. Step 4: Simplify right side
    10,056.11x = 117,195,063.58
  5. Step 5: Solve for x
    x = 117,195,063.58/10,056.11
  6. Step 6: Final answer
    x = 11,654.12

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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.