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Finding the Fourth Proportional to 7,205.84, 10,785.27 and 3,910.76

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Solution

The fourth proportional to 7,205.84, 10,785.27 and 3,910.76 is: 5,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.84 : 10,785.27 = 3,910.76 : x
  2. Step 2: Convert to fraction form
    7,205.84/10,785.27 = 3,910.76/x
  3. Step 3: Cross multiply
    7,205.84x = 10,785.27 × 3,910.76
  4. Step 4: Simplify right side
    7,205.84x = 42,178,602.51
  5. Step 5: Solve for x
    x = 42,178,602.51/7,205.84
  6. Step 6: Final answer
    x = 5,853.39

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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.