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Finding the Fourth Proportional to 10,267.76, 14,178.86 and 7,745.56

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Solution

The fourth proportional to 10,267.76, 14,178.86 and 7,745.56 is: 10,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.76 : 14,178.86 = 7,745.56 : x
  2. Step 2: Convert to fraction form
    10,267.76/14,178.86 = 7,745.56/x
  3. Step 3: Cross multiply
    10,267.76x = 14,178.86 × 7,745.56
  4. Step 4: Simplify right side
    10,267.76x = 109,823,210.86
  5. Step 5: Solve for x
    x = 109,823,210.86/10,267.76
  6. Step 6: Final answer
    x = 10,695.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.