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Finding the Fourth Proportional to 11,465.25, 15,818.49 and 6,428.77

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Solution

The fourth proportional to 11,465.25, 15,818.49 and 6,428.77 is: 8,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.25 : 15,818.49 = 6,428.77 : x
  2. Step 2: Convert to fraction form
    11,465.25/15,818.49 = 6,428.77/x
  3. Step 3: Cross multiply
    11,465.25x = 15,818.49 × 6,428.77
  4. Step 4: Simplify right side
    11,465.25x = 101,693,394.41
  5. Step 5: Solve for x
    x = 101,693,394.41/11,465.25
  6. Step 6: Final answer
    x = 8,869.71

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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.