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Finding the Fourth Proportional to 7,420.84, 10,234.86 and 4,768.52

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Solution

The fourth proportional to 7,420.84, 10,234.86 and 4,768.52 is: 6,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.84 : 10,234.86 = 4,768.52 : x
  2. Step 2: Convert to fraction form
    7,420.84/10,234.86 = 4,768.52/x
  3. Step 3: Cross multiply
    7,420.84x = 10,234.86 × 4,768.52
  4. Step 4: Simplify right side
    7,420.84x = 48,805,134.61
  5. Step 5: Solve for x
    x = 48,805,134.61/7,420.84
  6. Step 6: Final answer
    x = 6,576.77

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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.