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Finding the Fourth Proportional to 10,682.61, 14,741.99 and 6,436.13

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Solution

The fourth proportional to 10,682.61, 14,741.99 and 6,436.13 is: 8,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.61 : 14,741.99 = 6,436.13 : x
  2. Step 2: Convert to fraction form
    10,682.61/14,741.99 = 6,436.13/x
  3. Step 3: Cross multiply
    10,682.61x = 14,741.99 × 6,436.13
  4. Step 4: Simplify right side
    10,682.61x = 94,881,273.29
  5. Step 5: Solve for x
    x = 94,881,273.29/10,682.61
  6. Step 6: Final answer
    x = 8,881.84

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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.