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Finding the Fourth Proportional to 10,695.96, 14,761.80 and 5,980.50

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Solution

The fourth proportional to 10,695.96, 14,761.80 and 5,980.50 is: 8,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.96 : 14,761.80 = 5,980.50 : x
  2. Step 2: Convert to fraction form
    10,695.96/14,761.80 = 5,980.50/x
  3. Step 3: Cross multiply
    10,695.96x = 14,761.80 × 5,980.50
  4. Step 4: Simplify right side
    10,695.96x = 88,282,944.90
  5. Step 5: Solve for x
    x = 88,282,944.90/10,695.96
  6. Step 6: Final answer
    x = 8,253.86

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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.