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Finding the Fourth Proportional to 10,549.05, 15,809.73 and 7,762.68

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Solution

The fourth proportional to 10,549.05, 15,809.73 and 7,762.68 is: 11,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.05 : 15,809.73 = 7,762.68 : x
  2. Step 2: Convert to fraction form
    10,549.05/15,809.73 = 7,762.68/x
  3. Step 3: Cross multiply
    10,549.05x = 15,809.73 × 7,762.68
  4. Step 4: Simplify right side
    10,549.05x = 122,725,815.23
  5. Step 5: Solve for x
    x = 122,725,815.23/10,549.05
  6. Step 6: Final answer
    x = 11,633.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.