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Finding the Fourth Proportional to 10,572.95, 14,591.43 and 5,857.55

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Solution

The fourth proportional to 10,572.95, 14,591.43 and 5,857.55 is: 8,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.95 : 14,591.43 = 5,857.55 : x
  2. Step 2: Convert to fraction form
    10,572.95/14,591.43 = 5,857.55/x
  3. Step 3: Cross multiply
    10,572.95x = 14,591.43 × 5,857.55
  4. Step 4: Simplify right side
    10,572.95x = 85,470,030.80
  5. Step 5: Solve for x
    x = 85,470,030.80/10,572.95
  6. Step 6: Final answer
    x = 8,083.84

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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.