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Finding the Fourth Proportional to 7,800.76, 11,710.14 and 6,162.76

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Solution

The fourth proportional to 7,800.76, 11,710.14 and 6,162.76 is: 9,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.76 : 11,710.14 = 6,162.76 : x
  2. Step 2: Convert to fraction form
    7,800.76/11,710.14 = 6,162.76/x
  3. Step 3: Cross multiply
    7,800.76x = 11,710.14 × 6,162.76
  4. Step 4: Simplify right side
    7,800.76x = 72,166,782.39
  5. Step 5: Solve for x
    x = 72,166,782.39/7,800.76
  6. Step 6: Final answer
    x = 9,251.25

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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.