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Finding the Fourth Proportional to 11,058.80, 16,588.20 and 9,762.80

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Solution

The fourth proportional to 11,058.80, 16,588.20 and 9,762.80 is: 14,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058.80 : 16,588.20 = 9,762.80 : x
  2. Step 2: Convert to fraction form
    11,058.80/16,588.20 = 9,762.80/x
  3. Step 3: Cross multiply
    11,058.80x = 16,588.20 × 9,762.80
  4. Step 4: Simplify right side
    11,058.80x = 161,947,278.96
  5. Step 5: Solve for x
    x = 161,947,278.96/11,058.80
  6. Step 6: Final answer
    x = 14,644.20

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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.