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Finding the Fourth Proportional to 7,775.58, 10,730.34 and 4,238.70

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Solution

The fourth proportional to 7,775.58, 10,730.34 and 4,238.70 is: 5,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.58 : 10,730.34 = 4,238.70 : x
  2. Step 2: Convert to fraction form
    7,775.58/10,730.34 = 4,238.70/x
  3. Step 3: Cross multiply
    7,775.58x = 10,730.34 × 4,238.70
  4. Step 4: Simplify right side
    7,775.58x = 45,482,692.16
  5. Step 5: Solve for x
    x = 45,482,692.16/7,775.58
  6. Step 6: Final answer
    x = 5,849.43

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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.