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Finding the Fourth Proportional to 10,564.36, 15,850.05 and 3,545.06

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Solution

The fourth proportional to 10,564.36, 15,850.05 and 3,545.06 is: 5,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.36 : 15,850.05 = 3,545.06 : x
  2. Step 2: Convert to fraction form
    10,564.36/15,850.05 = 3,545.06/x
  3. Step 3: Cross multiply
    10,564.36x = 15,850.05 × 3,545.06
  4. Step 4: Simplify right side
    10,564.36x = 56,189,378.25
  5. Step 5: Solve for x
    x = 56,189,378.25/10,564.36
  6. Step 6: Final answer
    x = 5,318.77

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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.