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Finding the Fourth Proportional to 10,420.77, 15,623.87 and 5,223.81

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Solution

The fourth proportional to 10,420.77, 15,623.87 and 5,223.81 is: 7,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.77 : 15,623.87 = 5,223.81 : x
  2. Step 2: Convert to fraction form
    10,420.77/15,623.87 = 5,223.81/x
  3. Step 3: Cross multiply
    10,420.77x = 15,623.87 × 5,223.81
  4. Step 4: Simplify right side
    10,420.77x = 81,616,102.23
  5. Step 5: Solve for x
    x = 81,616,102.23/10,420.77
  6. Step 6: Final answer
    x = 7,832.06

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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.