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Finding the Fourth Proportional to 10,757.48, 16,118.01 and 6,588.77

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Solution

The fourth proportional to 10,757.48, 16,118.01 and 6,588.77 is: 9,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.48 : 16,118.01 = 6,588.77 : x
  2. Step 2: Convert to fraction form
    10,757.48/16,118.01 = 6,588.77/x
  3. Step 3: Cross multiply
    10,757.48x = 16,118.01 × 6,588.77
  4. Step 4: Simplify right side
    10,757.48x = 106,197,780.16
  5. Step 5: Solve for x
    x = 106,197,780.16/10,757.48
  6. Step 6: Final answer
    x = 9,872.00

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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.