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Finding the Fourth Proportional to 11,499.84, 15,866.94 and 7,021.92

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Solution

The fourth proportional to 11,499.84, 15,866.94 and 7,021.92 is: 9,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.84 : 15,866.94 = 7,021.92 : x
  2. Step 2: Convert to fraction form
    11,499.84/15,866.94 = 7,021.92/x
  3. Step 3: Cross multiply
    11,499.84x = 15,866.94 × 7,021.92
  4. Step 4: Simplify right side
    11,499.84x = 111,416,383.32
  5. Step 5: Solve for x
    x = 111,416,383.32/11,499.84
  6. Step 6: Final answer
    x = 9,688.52

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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.