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Finding the Fourth Proportional to 10,573.83, 14,591.07 and 5,792.70

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Solution

The fourth proportional to 10,573.83, 14,591.07 and 5,792.70 is: 7,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.83 : 14,591.07 = 5,792.70 : x
  2. Step 2: Convert to fraction form
    10,573.83/14,591.07 = 5,792.70/x
  3. Step 3: Cross multiply
    10,573.83x = 14,591.07 × 5,792.70
  4. Step 4: Simplify right side
    10,573.83x = 84,521,691.19
  5. Step 5: Solve for x
    x = 84,521,691.19/10,573.83
  6. Step 6: Final answer
    x = 7,993.48

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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.