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Finding the Fourth Proportional to 11,338.50, 15,646.10 and 6,302.28

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Solution

The fourth proportional to 11,338.50, 15,646.10 and 6,302.28 is: 8,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.50 : 15,646.10 = 6,302.28 : x
  2. Step 2: Convert to fraction form
    11,338.50/15,646.10 = 6,302.28/x
  3. Step 3: Cross multiply
    11,338.50x = 15,646.10 × 6,302.28
  4. Step 4: Simplify right side
    11,338.50x = 98,606,103.11
  5. Step 5: Solve for x
    x = 98,606,103.11/11,338.50
  6. Step 6: Final answer
    x = 8,696.57

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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.