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Finding the Fourth Proportional to 10,612.74, 14,644.85 and 5,833.02

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Solution

The fourth proportional to 10,612.74, 14,644.85 and 5,833.02 is: 8,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.74 : 14,644.85 = 5,833.02 : x
  2. Step 2: Convert to fraction form
    10,612.74/14,644.85 = 5,833.02/x
  3. Step 3: Cross multiply
    10,612.74x = 14,644.85 × 5,833.02
  4. Step 4: Simplify right side
    10,612.74x = 85,423,702.95
  5. Step 5: Solve for x
    x = 85,423,702.95/10,612.74
  6. Step 6: Final answer
    x = 8,049.17

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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.