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Finding the Fourth Proportional to 6,398.50, 8,821.83 and 5,260

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Solution

The fourth proportional to 6,398.50, 8,821.83 and 5,260 is: 7,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.50 : 8,821.83 = 5,260 : x
  2. Step 2: Convert to fraction form
    6,398.50/8,821.83 = 5,260/x
  3. Step 3: Cross multiply
    6,398.50x = 8,821.83 × 5,260
  4. Step 4: Simplify right side
    6,398.50x = 46,402,825.80
  5. Step 5: Solve for x
    x = 46,402,825.80/6,398.50
  6. Step 6: Final answer
    x = 7,252.14

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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.