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Finding the Fourth Proportional to 7,800.84, 10,765.20 and 4,264.05

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Solution

The fourth proportional to 7,800.84, 10,765.20 and 4,264.05 is: 5,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.84 : 10,765.20 = 4,264.05 : x
  2. Step 2: Convert to fraction form
    7,800.84/10,765.20 = 4,264.05/x
  3. Step 3: Cross multiply
    7,800.84x = 10,765.20 × 4,264.05
  4. Step 4: Simplify right side
    7,800.84x = 45,903,351.06
  5. Step 5: Solve for x
    x = 45,903,351.06/7,800.84
  6. Step 6: Final answer
    x = 5,884.41

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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.