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Finding the Fourth Proportional to 10,776.48, 16,082.12 and 10,645.92

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Solution

The fourth proportional to 10,776.48, 16,082.12 and 10,645.92 is: 15,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.48 : 16,082.12 = 10,645.92 : x
  2. Step 2: Convert to fraction form
    10,776.48/16,082.12 = 10,645.92/x
  3. Step 3: Cross multiply
    10,776.48x = 16,082.12 × 10,645.92
  4. Step 4: Simplify right side
    10,776.48x = 171,208,962.95
  5. Step 5: Solve for x
    x = 171,208,962.95/10,776.48
  6. Step 6: Final answer
    x = 15,887.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.