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Finding the Fourth Proportional to 10,433.85, 14,398.62 and 5,718.15

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Solution

The fourth proportional to 10,433.85, 14,398.62 and 5,718.15 is: 7,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.85 : 14,398.62 = 5,718.15 : x
  2. Step 2: Convert to fraction form
    10,433.85/14,398.62 = 5,718.15/x
  3. Step 3: Cross multiply
    10,433.85x = 14,398.62 × 5,718.15
  4. Step 4: Simplify right side
    10,433.85x = 82,333,468.95
  5. Step 5: Solve for x
    x = 82,333,468.95/10,433.85
  6. Step 6: Final answer
    x = 7,891.00

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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.