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Finding the Fourth Proportional to 10,768.95, 16,142.29 and 7,800.10

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Solution

The fourth proportional to 10,768.95, 16,142.29 and 7,800.10 is: 11,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.95 : 16,142.29 = 7,800.10 : x
  2. Step 2: Convert to fraction form
    10,768.95/16,142.29 = 7,800.10/x
  3. Step 3: Cross multiply
    10,768.95x = 16,142.29 × 7,800.10
  4. Step 4: Simplify right side
    10,768.95x = 125,911,416.37
  5. Step 5: Solve for x
    x = 125,911,416.37/10,768.95
  6. Step 6: Final answer
    x = 11,692.08

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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.