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Finding the Fourth Proportional to 10,665.40, 15,977.70 and 5,733.40

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Solution

The fourth proportional to 10,665.40, 15,977.70 and 5,733.40 is: 8,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.40 : 15,977.70 = 5,733.40 : x
  2. Step 2: Convert to fraction form
    10,665.40/15,977.70 = 5,733.40/x
  3. Step 3: Cross multiply
    10,665.40x = 15,977.70 × 5,733.40
  4. Step 4: Simplify right side
    10,665.40x = 91,606,545.18
  5. Step 5: Solve for x
    x = 91,606,545.18/10,665.40
  6. Step 6: Final answer
    x = 8,589.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.