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Finding the Fourth Proportional to 7,602.89, 10,488.35 and 4,768.85

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Solution

The fourth proportional to 7,602.89, 10,488.35 and 4,768.85 is: 6,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.89 : 10,488.35 = 4,768.85 : x
  2. Step 2: Convert to fraction form
    7,602.89/10,488.35 = 4,768.85/x
  3. Step 3: Cross multiply
    7,602.89x = 10,488.35 × 4,768.85
  4. Step 4: Simplify right side
    7,602.89x = 50,017,309.49
  5. Step 5: Solve for x
    x = 50,017,309.49/7,602.89
  6. Step 6: Final answer
    x = 6,578.72

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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.