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Finding the Fourth Proportional to 7,463.85, 10,298.34 and 4,808.13

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Solution

The fourth proportional to 7,463.85, 10,298.34 and 4,808.13 is: 6,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.85 : 10,298.34 = 4,808.13 : x
  2. Step 2: Convert to fraction form
    7,463.85/10,298.34 = 4,808.13/x
  3. Step 3: Cross multiply
    7,463.85x = 10,298.34 × 4,808.13
  4. Step 4: Simplify right side
    7,463.85x = 49,515,757.50
  5. Step 5: Solve for x
    x = 49,515,757.50/7,463.85
  6. Step 6: Final answer
    x = 6,634.08

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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.