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Finding the Fourth Proportional to 11,552, 15,954.72 and 7,819.52

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Solution

The fourth proportional to 11,552, 15,954.72 and 7,819.52 is: 10,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552 : 15,954.72 = 7,819.52 : x
  2. Step 2: Convert to fraction form
    11,552/15,954.72 = 7,819.52/x
  3. Step 3: Cross multiply
    11,552x = 15,954.72 × 7,819.52
  4. Step 4: Simplify right side
    11,552x = 124,758,252.13
  5. Step 5: Solve for x
    x = 124,758,252.13/11,552
  6. Step 6: Final answer
    x = 10,799.71

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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.