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Finding the Fourth Proportional to 11,493.59, 15,867.20 and 7,736.51

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Solution

The fourth proportional to 11,493.59, 15,867.20 and 7,736.51 is: 10,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.59 : 15,867.20 = 7,736.51 : x
  2. Step 2: Convert to fraction form
    11,493.59/15,867.20 = 7,736.51/x
  3. Step 3: Cross multiply
    11,493.59x = 15,867.20 × 7,736.51
  4. Step 4: Simplify right side
    11,493.59x = 122,756,751.47
  5. Step 5: Solve for x
    x = 122,756,751.47/11,493.59
  6. Step 6: Final answer
    x = 10,680.45

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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.