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Finding the Fourth Proportional to 10,549.18, 15,809.92 and 7,762.80

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Solution

The fourth proportional to 10,549.18, 15,809.92 and 7,762.80 is: 11,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.18 : 15,809.92 = 7,762.80 : x
  2. Step 2: Convert to fraction form
    10,549.18/15,809.92 = 7,762.80/x
  3. Step 3: Cross multiply
    10,549.18x = 15,809.92 × 7,762.80
  4. Step 4: Simplify right side
    10,549.18x = 122,729,246.98
  5. Step 5: Solve for x
    x = 122,729,246.98/10,549.18
  6. Step 6: Final answer
    x = 11,634.01

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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.