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Finding the Fourth Proportional to 11,338.74, 15,646.28 and 6,302.15

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Solution

The fourth proportional to 11,338.74, 15,646.28 and 6,302.15 is: 8,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.74 : 15,646.28 = 6,302.15 : x
  2. Step 2: Convert to fraction form
    11,338.74/15,646.28 = 6,302.15/x
  3. Step 3: Cross multiply
    11,338.74x = 15,646.28 × 6,302.15
  4. Step 4: Simplify right side
    11,338.74x = 98,605,203.50
  5. Step 5: Solve for x
    x = 98,605,203.50/11,338.74
  6. Step 6: Final answer
    x = 8,696.31

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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.