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Finding the Fourth Proportional to 11,830.82, 16,321.51 and 7,580.52

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Solution

The fourth proportional to 11,830.82, 16,321.51 and 7,580.52 is: 10,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.82 : 16,321.51 = 7,580.52 : x
  2. Step 2: Convert to fraction form
    11,830.82/16,321.51 = 7,580.52/x
  3. Step 3: Cross multiply
    11,830.82x = 16,321.51 × 7,580.52
  4. Step 4: Simplify right side
    11,830.82x = 123,725,518.69
  5. Step 5: Solve for x
    x = 123,725,518.69/11,830.82
  6. Step 6: Final answer
    x = 10,457.90

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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.